Assume you have two vectors, A = 7.3i + 3.2j and an unknown vector B with...
Assume you have two vectors, A = 7.3i + 3.2j and an unknown vector B with length 3.3. In this problem, you must assume that both components of B are positive, Bx > 0, and By > 0.
Homework Answers
in
question there is no indicate the relation of B with A ,otherwise
any condition it is not possible to calculate it ,so i consider it
that they are perpendicular to each other
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Assume you have two vectors, A =
7.3i +
3.2j and an unknown vector
B with...
#1 Exercises with Vectors-II Name [1] Suppose you have two vectors, a and b, that have...
#1
Exercises with Vectors-II Name [1] Suppose you have two vectors, a and b, that have the same length, so that lal-lb but they point in different directions. Denote the angle between them by . Show that tan(0/2) la-bMa+b Hint: Compute the right-hand side using the fact that lal-bl, and the trig identities 1-cos θ-2sin'(9/2) and 1+cos9-2cos(θ/2) 12] Vectors in 3-dimensions are often parameterized in terms of their length and two angles, as shown in the figure (think of a...
Two vectors, Pand O as shown below, represent two adjacent sides of a parallelogram. You want...
Two vectors, Pand O as shown below, represent two adjacent sides of a parallelogram. You want to determine the area of the parallelogram formed by the two vectors and the dotted lines showm. To do this, you must calculate the vector (cross) product of the two given vectors, Pand O Both vectors are completely in the x-z plane. The vectors are as follows: What assumptions are explicitly and/or implicitly stated in the problem regarding the cross product of vectors Pand Q? The...
following The two vectors α and b in the figure below have equal magnitudes of 13.1...
following
The two vectors α and b in the figure below have equal magnitudes of 13.1 m and their angles are a = 30° and θ2-1039 0 (a) Find the x and y components of their vector sum r. (Express your answer in vector form.) (b) Find the magnitude of (c) Find the angle r makes with the positive x axis
You have two arbitrary vectors A and B, which have different magnitudes, and which both lie...
You have two arbitrary vectors A and B, which have different magnitudes, and which both lie in the 1st quadrant. You add the two vectors together. The resultant vector will have...
Vector C has a magnitude of 27.0 m and points in the -y-direction. Vectors A and...
Vector C has a magnitude of 27.0 m and points in the -y-direction. Vectors A and B both have positive y-components, and make angles of a = 45.4° and ß = 26.7° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B? |A| = 42.7 B| = 33.5 Figure is not to scale.
consider two vectors A= -10i+20j, and B has a length of 15 and angle of +45...
consider two vectors A= -10i+20j, and B has a length of 15 and angle of +45 with respect to the positive x axis. What third vector C must be added to these two such that A+B+C=0?
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors...
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors that add together to form a right triangle. One ve point in the horizontal direction while the other will point in the vertical. tor will Ay Dy в, While you can determine the components of vectors Ä, B, C, and D visually above since there are grid lines, you can also use trigonometry to determine the values of each component. For each vector shown...
Two vectors ~a and ~b have equal magnitudes of 28.4 units. They are oriented as shown...
Two vectors ~a and ~b have
equal magnitudes of 28.4 units. They are oriented as shown in the
figure below and their vector sum is ~r. Find
(a) the x and y components of ~r,
(b) the magnitude of ~r, and
(c) the angle ~r makes with the positive x-axis
ude of F, and ) the angle F makes with the positive x-axis. 105
Problem B.7 Consider two vectors A and B as shown in Fig. B.38. If the magnitude...
Problem B.7 Consider two vectors A and B as shown in Fig. B.38. If the magnitude of these vectors is A = 3.5 and B = 6.3 units, respectively, and they make angles a = 45° and B = 32 with horizontal: Fig. 3.38 Problem B.7 (a) Determine the components of vectors A and B in the hori- zontal and vertical directions. (b) Express vectors A and B in terms of their components. (c) Determine the magnitude of vector D...
The Force Table - Vector Addition and Resolution "Vectors? I don't have any vectors, I'm just a kid.&#...
The Force Table - Vector Addition and Resolution "Vectors? I don't have any vectors, I'm just a kid."-From Flight of the Navigator PURPOSE To observe how forces acting on an object add to produces a net, resultant force To see the relationship between the equilibrant force relates to the resultant force To develop skills with graphical addition of vectors and vector components To develop skills with analytical addition of vectors and vector components EXPLORE THE FORCE TABLE APPARATUS; THEORY 490...
#1
Exercises with Vectors-II Name [1] Suppose you have two vectors, a and b, that have the same length, so that lal-lb but they point in different directions. Denote the angle between them by . Show that tan(0/2) la-bMa+b Hint: Compute the right-hand side using the fact that lal-bl, and the trig identities 1-cos θ-2sin'(9/2) and 1+cos9-2cos(θ/2) 12] Vectors in 3-dimensions are often parameterized in terms of their length and two angles, as shown in the figure (think of a...
following
The two vectors α and b in the figure below have equal magnitudes of 13.1 m and their angles are a = 30° and θ2-1039 0 (a) Find the x and y components of their vector sum r. (Express your answer in vector form.) (b) Find the magnitude of (c) Find the angle r makes with the positive x axis
Vector C has a magnitude of 27.0 m and points in the -y-direction. Vectors A and B both have positive y-components, and make angles of a = 45.4° and ß = 26.7° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B? |A| = 42.7 B| = 33.5 Figure is not to scale.
Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors that add together to form a right triangle. One ve point in the horizontal direction while the other will point in the vertical. tor will Ay Dy в, While you can determine the components of vectors Ä, B, C, and D visually above since there are grid lines, you can also use trigonometry to determine the values of each component. For each vector shown...
Two vectors ~a and ~b have
equal magnitudes of 28.4 units. They are oriented as shown in the
figure below and their vector sum is ~r. Find
(a) the x and y components of ~r,
(b) the magnitude of ~r, and
(c) the angle ~r makes with the positive x-axis
ude of F, and ) the angle F makes with the positive x-axis. 105
Problem B.7 Consider two vectors A and B as shown in Fig. B.38. If the magnitude of these vectors is A = 3.5 and B = 6.3 units, respectively, and they make angles a = 45° and B = 32 with horizontal: Fig. 3.38 Problem B.7 (a) Determine the components of vectors A and B in the hori- zontal and vertical directions. (b) Express vectors A and B in terms of their components. (c) Determine the magnitude of vector D...
The Force Table - Vector Addition and Resolution "Vectors? I don't have any vectors, I'm just a kid."-From Flight of the Navigator PURPOSE To observe how forces acting on an object add to produces a net, resultant force To see the relationship between the equilibrant force relates to the resultant force To develop skills with graphical addition of vectors and vector components To develop skills with analytical addition of vectors and vector components EXPLORE THE FORCE TABLE APPARATUS; THEORY 490...
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