Vectors A and B lie in an xy plane. A has magnitude 8.60 and angle 136? from the

Question

Vectors A and B lie in an xy plane. A has magnitude 8.60 and angle 136? from the positive direction of the x axis. B has components Bx = -7.60 and By = -9.20. (Can be 'undefined' for any answer if appropriate.)

(a) What is 7A ? B?

(b) What is 4Ax3B in unit-vector notation?

(c) What is 4Ax3B in magnitude-angle notation with spherical coordinates?(r=,theta=,phi=)

(d) What is the angle between the directions ofAand 4Ax 3B? (Hint: Think a bit before you resort to a calculation.)

(e) What isA+ 6.00k in unit-vector notation?

(f) What isA+ 6.00K in magnitude-angle notation with spherical coordinates?(r=,theta=,phi=)

Explanation / Answer

a) -55.61
b) 1226.734 k
C) 1226.734

D) 900

E) -6.18i + -9.20 j + 6 k
f) 10.48 r + 577 + -378.15

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