Questions about Chapter 3: Vectors.
Question No: 1
Two vectors are given by: A = -3.0 i + 4.0 j and B = 4.0 j + 3.0 k, where i,j and k are the unit vectors in the positive x, y and z directions. Find the angle between the vectors A and B.
A. 68 degrees
B. 50 degrees
C. 39 degrees
D. 90 degrees
E. 0 degree
Question No: 2
Vectors a , b and c are shown in figure (1). The vector c is equal to
A. a - b
B. b + a
C. b - a
D. a cos(theta)
E. b cos(theta)
Question No: 3
Two vectors a and b have equal magnitudes of 10 units. They are oriented as shown in figure (2), and their vector sum is r. Find the magnitude of r and the angle theta the vector r makes with +x direction.
A. r = 13 units and theta=80 degrees
B. r = 20 units and theta=150 degrees
C. r = 33 units and theta=60 degrees
D. r = 20 units and theta=30 degrees
E. r = 10 units and theta=120 degrees