Please solve questions A B and C Note questions B and C are

a096) Problem 10: You are given a vector A-135i and an unknown vector B that is perpendicular to A. The cross-product of these two vectors is A × B 71. 33% Part (a) what is the x-component of the vector B? Grade Sumn 8 19 coso cotan0 asin0 acosO atan acotan sinh0 detailed vie 0 I give up Hints: 2N-deduction per hint. Hints remaining: 1 3390 Part (c) What can you say about the z-component of the vector B?

Solution

The vector perpendicular to i is j

So, let B be b j + ck
cross product :
(135 i) X (b j + ck) = 75 k
(135b k) + (135c -j) = 75 k
(135b k) - (135 cj) = 75 k
135b = 75
b = 0.56 j

and
135 c = 0
c=0

a)

x compoent of B is 0. Since B is perpendicular to A

b)
y component is 0.56 as calculated above

c)
Z component is 0 as calculated above