Let c be a vector perpendicular to the vectors a-k- and b-2-k- If c-3k- then the value of c- a-b is equal to

C· ( a×b )= [ c a b ] a×b= î amp; nbsp;ĵ amp;k̂ 1 nbsp; amp; 1 nbsp; amp; 1 1 nbsp; amp; 2 nbsp; nbsp; amp; 1 nbsp; =(3, 2, ...

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Bisector of Angle between Two Vectors

Let c be a ve...

Question

Let $\to c$ be a vector perpendicular to the vectors $\to a =^i +^j -^k$ and $\to b =^i + 2^j +^k .$ If $\to c \cdot (^i +^j + 3^k),$ then the value of $\to c \cdot (\to a \times \to b)$ is equal to

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\to a =^i - 2^j +^k

\to b =^i -^j +^k

\to c

\to b \times \to c = \to b \times \to a

\to c \cdot \to a = 0

\to c \cdot \to b

^i + 2^j +^k

- 2^i +^j + 3^k

\sqrt{2}

\to a =^i +^j + 2^k

\to b =^i + 2^j +^k

\to c =^i +^j +^k

-^i -^k

^j -^k

^i -^j

^i +^k

\to a =^i +^j +^k, \to b = 2^i -^j + 3^k

\to c =^i - 2^j +^k

2 \to a - \to b + 3 \to c

If $a =^i +^j +^k, b = 2^i -^j + 3^k a n d c =^i - 2^j +^k$ find a unit vector parallel to the vector 2a - b + 3c.

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