Given the pair of vectors, A = (9.00i − 3.00j) and B = (−4.00i + 9.00j)...
Given the pair of vectors,
A = (9.00i − 3.00j)
and
B = (−4.00i + 9.00j)
use the definition of a scalar product to determine the
following.
(a) the scalar product
(b) the angle between the vectors (Enter an answer between 0 and 180 degrees.)
(c) the angle α between the vector A and the +x axis (Enter an answer between 0 and 180 degrees.)
(d) the angle β between the vector B and the +y axis (Enter an answer between 0 and 180 degrees.)
Homework Answers
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Given the pair of vectors,
A = (9.00i − 3.00j)
and
B = (−4.00i + 9.00j)...
Exercise 1.44 Part A: Given two vectors A = 4.00i + 7.00j and B = 5.00i...
Exercise 1.44
Part A: Given two vectors
A = 4.00i + 7.00j and B = 5.00i - 2.00j
Find the vector product A x B (expressed in unit vectors).
Express your answer in terms of the unit vectors I, j, and k.
Express your answer using three significant figures.
Part B:
What is the magnitude of the vector product?
Given two vectors A 4.00i + 7.00, and B = 5.00i-200j. find the vector product A x B (expressed in unit...
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C++: vectors. Euclidean vectors are sets of values which represent values in a dimensional field. A 2d vector would represent values in x,y space (an ordered pair of coordinates) and a 3d vector would represent values in x,y,z space (an ordered triplet of coordinates). We define the basic definition of the 2d vector as follows: class Vector2D { public: Vector2D (); Vector2D (double ,double ); double dotProduct(Vector2D& ); friend Vector2D& operator +(Vector2D&, Vector2D&); friend std::ostream& operator <<(std::ostream& o, Vector2D& a);...
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product...
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product A.B (b) the angle between A and B (c) the scalar projection of A on B (d) the vector product AxB (e) the area of the parallelogram whose sides are specified by A andB () the volume of a parallelepiped defined by vectors A, B and C (g) the vector triple product A x (Bx C)
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute...
For the vectors shown below, determine the values of A and B that would make A...
For the vectors shown below, determine the values of A and B that would make A +BF, = 3.5i-4. You may assume that each grid line is 1 unit away from the next. -axis 2 x-axis For the vectors shown below determine the values of A and the acute angle 8 (in degrees that would make the negative y-axis +AT -2.5 -4 Use that g 20 v.-2 and v-3. Note: The angle θ is between the vector and y-axis x-axis...
4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of...
4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.20 km and a direction that makes an angle θ = 31 OP to the left of the positive y-axis, vector B has a magnitude of 5 10 km and a direction that makes an angle of α =20.0° above the positive x-axis and vector C has a magnitude of 440 km and a direction that makes an angle β = 550° below the...
Consider the two vectors, A and B, for which the length and angle are given below....
Consider the two vectors, A and B, for which the length and angle are given below. What would be the x and y components of the the vector sum C = A + B? length of A = 4.472, angle A makes with respect to x-axis = 153.435 degrees length of B = 3.606, angle C makes with respect to x-axis = 56.310 degrees Cx = Cy=
Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 7.90 km and a direction that makes an angle θ = 31.0° to the left of the positive y-axis, vector → B has a magnitude of 6.20 km and a direction that makes an angle o
Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 7.90 km and a direction that makes an angle θ = 31.0° to theleft of the positive y-axis, vector → B has a magnitude of 6.20 km and a direction that makes an angle of α =28.0° above the positive x-axis, and vector →C has a magnitude of 4.10 km and a direction that makes an angle β = 57.0° below the negative x-axis. Determine...
Vector Manipulation For the vectors shown below, determine the values of A and B that would...
Vector Manipulation For the vectors shown below, determine the values of A and B that would make Al(叭vec] 1+8[(v)wec]2-4[^(i)]-3[^(j), You may assume that each grid line is 1 unit away from the next. y-axis 2 x-axis 1pts Subit Aswe Tries 0/15 For the vectors shown below, determine the values of A and the acute angle θ2 (in degrees) that would make (v lvec]1+A (v) vec 2" The angle θ2 is between the vector [(v)\vec]2 and the negative y-axis. 3(^() 5.5[^...
please show steps The Scalar Product The vectors A and B are given by A =...
please show steps
The Scalar Product The vectors A and B are given by A = 1 + 3j and B = -1i + 13 (a) Determine the scalar product AB. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two-Select- Categorize Because we have a definition for the scalar product, we categorize this example as --Select problem. Substitute the specific vector expressions for A and B A B - (11...
Vector Mathematics For the vectors shown below, determine the values of A and the acute angle...
Vector Mathematics
For the vectors shown below, determine the values of A and the acute angle e, (in degrees) that would make v; + AV, = -3.5i – 4.5j. Use that 0, = 20°, v, = 2 and v2 = 3. Note: The angle e, is between the vector y, and the negative y-axis. y-axis ► x-axis Oo, -35.347 A = 2.19 1 pts Submit Answer You have entered that answer before Incorrect. Tries 4/15 Previous Tries
Exercise 1.44
Part A: Given two vectors
A = 4.00i + 7.00j and B = 5.00i - 2.00j
Find the vector product A x B (expressed in unit vectors).
Express your answer in terms of the unit vectors I, j, and k.
Express your answer using three significant figures.
Part B:
What is the magnitude of the vector product?
Given two vectors A 4.00i + 7.00, and B = 5.00i-200j. find the vector product A x B (expressed in unit...
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute (a) the scalar product A.B (b) the angle between A and B (c) the scalar projection of A on B (d) the vector product AxB (e) the area of the parallelogram whose sides are specified by A andB () the volume of a parallelepiped defined by vectors A, B and C (g) the vector triple product A x (Bx C)
Given three vectors A-a,+2a, +3a, B-3a,+4a,+5a, and C-2a,-2ay +7a, compute...
For the vectors shown below, determine the values of A and B that would make A +BF, = 3.5i-4. You may assume that each grid line is 1 unit away from the next. -axis 2 x-axis For the vectors shown below determine the values of A and the acute angle 8 (in degrees that would make the negative y-axis +AT -2.5 -4 Use that g 20 v.-2 and v-3. Note: The angle θ is between the vector and y-axis x-axis...
4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.20 km and a direction that makes an angle θ = 31 OP to the left of the positive y-axis, vector B has a magnitude of 5 10 km and a direction that makes an angle of α =20.0° above the positive x-axis and vector C has a magnitude of 440 km and a direction that makes an angle β = 550° below the...
Vector Manipulation For the vectors shown below, determine the values of A and B that would make Al(叭vec] 1+8[(v)wec]2-4[^(i)]-3[^(j), You may assume that each grid line is 1 unit away from the next. y-axis 2 x-axis 1pts Subit Aswe Tries 0/15 For the vectors shown below, determine the values of A and the acute angle θ2 (in degrees) that would make (v lvec]1+A (v) vec 2" The angle θ2 is between the vector [(v)\vec]2 and the negative y-axis. 3(^() 5.5[^...
please show steps
The Scalar Product The vectors A and B are given by A = 1 + 3j and B = -1i + 13 (a) Determine the scalar product AB. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two-Select- Categorize Because we have a definition for the scalar product, we categorize this example as --Select problem. Substitute the specific vector expressions for A and B A B - (11...
Vector Mathematics
For the vectors shown below, determine the values of A and the acute angle e, (in degrees) that would make v; + AV, = -3.5i – 4.5j. Use that 0, = 20°, v, = 2 and v2 = 3. Note: The angle e, is between the vector y, and the negative y-axis. y-axis ► x-axis Oo, -35.347 A = 2.19 1 pts Submit Answer You have entered that answer before Incorrect. Tries 4/15 Previous Tries
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