Question

A bar + B bar = c bar then magnitude of b bar is ?

Answer 1

Answer:

C-magnitude of A bar is the magnitude of B bar

Answer 2

The magnitude of the B bar is $\sqrt{B.C - A.B}$.

Given:

A bar + B bar = C bar

To Find:

The magnitude of B bar.

Solution:

We can solve the above problem with the following process.

It is given that A bar + B bar = C bar

Taking the dot product with B bar.

A.B + B.B = B.C

A.B + $B^{2}$ = B.C

| $B^{2}$ |= B.C - A.B

$|B^{2} |=\sqrt{B.C - A.B}$

Hence, the magnitude of the B bar is $\sqrt{B.C - A.B}$.

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