Question

Find the projection of P=3i-4j+7k on to the direction of Q -2i-j+4k
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Answer 1

Answer:

Projection of P on Q is given as

$P_{proj} = \frac{26}{\sqrt{21}}$

Explanation:

As we know that projection of one vector on other vector is given as

$P_{proj} = \frac{P.Q}{Q}$

$P = 3\hat i - 4\hat j + 7\hat k$

$Q = -2\hat i - \hat j + 4\hat k$

now we have

$P.Q = -6 + 4 + 28$

$P.Q = 26$

now we have

$Q = \sqrt{2^2 + 1 + 4^2}$

$Q = \sqrt{21}$

now we have

$P_{proj} = \frac{26}{\sqrt{21}}$

#Learn

Topic : Component of P on Q

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