Let c-a-b-a-b where a and b are unit vectors such that a-b-0- then

Nonzero vectors $\to a, \to b, \to c$ satisfy $\to a . \to b = 0, (\to b - \to a) . (\to b + \to c) = 0 a n d 2 | \to b + \to c | = | \to b - \to a |$ . If $\to a = μ \to b + 4 \to c t h e n μ =$ ___

Q. If

\to a, \to b, \to c

are any three non-zero vectors such that

(\to a + \to b) \cdot \to c = (\to a - \to b) \cdot ¯ ¯ c = 0,

then

(\to a \times \to b) \times \to c =

Q. If

a = i + j + k, b = i + j, c = i

and

(a \times b) \times c = λ a + μ b

, then

λ + μ

is equal to

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Let →c=λ→a+μ→b+γ→a×→b where →a and →b are unit vectors such that →a⋅→b=0, then

The correct option is A μ=→b⋅→cGiven →c=λ→a+μ→b+γ→a×→bGiven →a.→b=0 and →a,→b are unit vectors⇒(→a×→b).→b=0Now multiply →c with →b , we get →c.→b=λ→a.→b+μ→b.→b+γ(→a×→b).→b⇒→c.→b=μTherefore option A is correct

Let $\to c = λ \to a + μ \to b + γ \to a \times \to b$ where $\to a$ and $\to b$ are unit vectors such that $\to a \cdot \to b = 0$ , then