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Question

Physics Question on Motion in a plane

In the product F=q(v×b)\vec{F}=q(\vec{v}\times\vec{b})
=qv×(Bi^+Bj^+B0k^)q\vec{v}\times(B\hat i+B \hat j+B_0\hat k)
For q=1 and v=2i^+4j^+6k^\vec v = 2\hat i+4\hat j+6\hat k and F=4i^20j^+12k^\vec F=4\hat i-20\hat j+12\hat k
What will be the complete expression for B\vec B ?

A

6i^+6j^8k^6\hat i+6\hat j-8\hat k

B

8i^8j^6k^-8\hat i-8\hat j-6\hat k

C

6i^6j^8k^-6\hat i-6\hat j-8\hat k

D

8i^+8j^6k^8\hat i+8\hat j-6\hat k

Answer

6i^6j^8k^-6\hat i-6\hat j-8\hat k

Explanation

Solution

The correct answer is option (C) : 6i^6j^8k^-6\hat i-6\hat j-8\hat k