If a- is unit vector- then -a-2-a-2-a-k-2-A- 0B- 3C- 1D- 2

The correct option is D 2Let a=a_1î+a_2ĵ+a_3k̂ Then |a×î|^2=|a_1î+a_2ĵ+a_3k̂)× i|^2 =|a_3ĵ a_2k̂|^2 Similarly, |a×ĵ|^2=|a_1k̂ a_3 î|^2 nbsp; ...

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Test for Collinearity of Vectors

If a⃗ is unit...

Question

If $\to a$ is unit vector, then $| \to a \times^i |^{2} + | \to a \times^j |^{2} + | \to a \times^k |^{2} =$ ______

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^i \times (\to a \times^i) +^j \times (\to a \times^j) +^k \times (\to a \times^k) = 2 \to a

\to a

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

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

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

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

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

\to a = 3^i + 4^j - 5^k

|^i \times (\to a \times^i) +^j \times (\to a \times^j) +^k \times (\to a \times^k) | =

| \to a \times^i |^{2} + | \to a \times^j |^{2} + | \to a \times^k |^{2}

\to a =^i +^j, \to b =^i +^k

{{(\to a \times \to b) \times \to a} \times \to a} \times \to b =

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