QUES,..
Vector which is perpendicular to (a cos theta i^ + b sin theta j^) is. :
a) bsin theta i^ -a cos theta.j^
b) 1/a sin theta i^ -1/b cos theta j^
c) 5k^
d). all of these
Answers
Answered by
20
Answer:
in each case dot product is zero between the given vector and options
Hence, answer is option (d)
Answered by
29
Answer:
d). all of these
Explanation:
Given that
A = a cos θ i + b sin θ j
As we know that if if two vector A and B is perpendicular to each other then their dot product(A.B) should be zero.
a)
B= b sin θ i - a cos θ j
A = a cos θ i + b sin θ j
A.B= ab sin θ.cos θ - ab sin θ.cos θ
A.B= 0
b)
B= 1/a sin θ i - 1/b cos θ j
A = a cos θ i + b sin θ j
A.B= sin θ.cos θ - sin θ.cos θ
A.B= 0
c)
B= 5 k
A = a cos θ i + b sin θ j
A.B= ( cos θ i + b sin θ j) . 5 k
A.B= 0
It mean that are correct.
d). all of these
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