The length of the projection of 2 -3 -k- in the direction of 4 -4 -7 k- isA- 3B- 9C- 27 D- 3 -3

The correct option is A 3Length of the projection of a on b is |a.b|/|b|=|8+12+7|/√(16+16+49)=27/9=3 ...

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Applications of Dot Product

The length of...

Question

The length of the projection of $2^i - 3^j +^k$ in the direction of $4^i - 4^j + 7^k$ is

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3 \sqrt{3}

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2^i - 3^j +^k

4^i - 4^j + 7^k

2^i - 3^j +^k

4^i - 4^j + 7^k

^i - 2^j +^k

4^i - 4^j + 7^k

\to a = 3^j - 4^k

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

\to c

\to a

\to b

\to c

\to d

\frac{10}{9}

\to d = 4^i - 4^j + 7^k

| \to c |^{2}

\to A = 2^i + 3^j -^k and \to B = -^i + 3^j + 4^k

\to A on \to B

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