If a- b- c- are non - coplanar vectors- then a -b - c-c - a - b-b -a - c-c -a - b-

The correct option is A 0We know that, a . (b × c)=[a b c], also called as box product. Box product is a scalar quantity. a . (b × c)(c × a) . b+b . (a × c) ...

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Standard XII

Physics

Young's Modulus of Elasticity

If a⃗, b⃗, c⃗...

Question

If $\to a, \to b, \to c$ are non - coplanar vectors, then $\frac{a . (b \times c)}{(c \times a) . b} + \frac{b . (a \times c)}{c . (a \times b)} = ?$

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Solution

The correct option is B $0$
We know that, $a . (b \times c) = [a b c]$ , also called as box product. Box product is a scalar quantity.

$\frac{a . (b \times c)}{(c \times a) . b} + \frac{b . (a \times c)}{c . (a \times b)} = \frac{[a b c]}{[c a b]} - \frac{[b a c]}{[c a b]} = 0$

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If →a,→b,→c are non - coplanar vectors, then a.(b×c)(c×a).b+b.(a×c)c.(a×b)=?

The correct option is B 0We know that, a.(b×c)=[a b c], also called as box product. Box product is a scalar quantity. a.(b×c)(c×a).b+b.(a×c)c.(a×b)=[a b c][c a b]−[b a c][c a b]=0

If $\to a, \to b, \to c$ are non - coplanar vectors, then $\frac{a . (b \times c)}{(c \times a) . b} + \frac{b . (a \times c)}{c . (a \times b)} = ?$

The correct option is B $0$
We know that, $a . (b \times c) = [a b c]$ , also called as box product. Box product is a scalar quantity.

$\frac{a . (b \times c)}{(c \times a) . b} + \frac{b . (a \times c)}{c . (a \times b)} = \frac{[a b c]}{[c a b]} - \frac{[b a c]}{[c a b]} = 0$