Given P→=3i^−4j^. Which of the following is perpendicular to P→?
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a
3i^
b
4i^
c
4i^+3j^
d
4i^-3j^
answer is C.
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Detailed Solution
P→ is in the fourth quadrant. 4i^+3j^ is in the first quadrant. Clearly, 4i^+3j^ can be perpendicular to P→. For confirmation, let us check whether their dot product is zero.3i^-4j^4i^+3j^=12-12=0This shows that 4i^+3j^ is perpendicular to 3i^-4j^ .