This picture tells how to calculate the scalar product between two vectors if they are expressed in component form or in terms of unit vectors.. Vector A is expressed addition of 3 componets i.e. x,y,z components of A . Similarly B is also expressed.
In the next step the multiplication is carried out of each terms.The last step uses the following logics
dot product between unit vector x and x, y and y, z and z unit vectors are 1 as they are unit vectors and they have 0 angle between them.If you remember the formula for dot products of two vectros in term of magnitude and cosine of angles
these dot product reduces to
x^ . x^ = I x^ I I x^ I cos(0) = 1 * 1 * 1 = 1
But the dot product of x with y and z will be zero as they are orthogonal vectors and dot product between them contains a cosine term which become zero for orthogonal vectors i.e cos(90) = 0. Similar reasoning for dot product between y and z, y and x, z and x, z and y.
if you focus on the picture, in the end it tells that the dot product essentially reduces to multiplications of respective components i.e x component of A multiplied with x component of B + y component of A multiplied with y component of B + z component of A multiplied with z component of B
Vector A has x component 4.8 and B has 5.5. Vector A has y component 7.4 and B has -2.6. They don't have z components.
so for our case A.B = 4.8 * 5.5 + 7.4 * (-2.6) = 7.16
Part A Two vectors A and B have magnitude A = 3.08 and 2.98. Their vector product is A × Β--508k + 2.08 i. What is the angle between A and B? Submit Previous Answers Request Answer X Incorrect: Try Again; 2 attempts remaining
Part A Given two vectors Ā = 4.40 î+ 7.40 „ and B = 5.80 î – 2.70 ġ, find the scalar product of the two vectors A and B. ΠΙ ΑΣφ ? Ā. B= Submit Request Answer Part B Find the angle between these two vectors. ΟΙ ΑΣφ 3) ? 0 =
PartA Given two vectors A = 4.201 + 7.20 j and B-5.80 2-2.60 j , find the scalar product of the two vectors A and B A.B-5.64 Previous Answers Correct Part B Find the angle between these two vectors. Submit Request Answer
Cna you help me in this question? Thanks all. Vectors A and B have scalar product-2.00 and their vector product has magnitude 6.00. Part A What is the angle between these two vectors? Vo ΑΣφ ? e 161.56 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Problem 1.70 4 of 12 A ship leaves the island of Guam and sails a distance 265 km at an angle 36.0° north of west. Part A In which direction...
Exercise 1.42 Part A Given two vectors A = 4.801 + 7.00 j and B = 5.101-2.60 j , find the scalar product of the two vectors A and B Submit Request Answer Part B Find the angle between these two vectors. 0图 SubmitRec Request Answer Provide Feedback
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...
Constants Part A Find the angle between each of the following pairs of vectors A A,i Aj and B B,i B,j You may want to review (Pages 19-24) Ali : -2.00. Agi -5 40, B,i -2.40, By,--4 00, For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Finding an angle with the scalar product. Submit Previous Answers Eeauest Answer Incorrect; Try Again; 2 attempts remaining
Exercise 1.42 Part A: Given two vectors A = 4.60i + 7.20j and B = 5.10i + 2.40j, find the scalar product of the two vectors A and B. Part B: Find the angle between these two vectors Exercise 1.42 Given two vectors A 460 İ + 7 20 jand B-5 10 i 240 j find the scalar product of the two vectors A and B Submit Request Answer Part B Find the angle between these two vectors
Introduction to Symbolic Answers Enter the expression v2i+j+k, where i, j and k are vectors. vec Select the vector and then click on the 'vec button vec Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining The correct answer involves the variable i, which was not part of your answer.
Part G Use components to find the magnitude of B-A. Submit Previous Answers Request Answer Incorrect: Try Again; 5 attempts remaining Figure 1o11 Part H Use components to find the direction of BA (2.80 cm) counterclockwise from x-axis 600 Submit Previous Answers Request Answer i (1.90 cm) X Incorrect: Try Again; 3 attempts remaining