If A-5 -7 -3 k- and B-15 -21 -a k- are parallel vectors then the value of a is-

The correct option is C 9 ( A⃗×B⃗ nbsp;) =| î nbsp; amp; ĵ nbsp; amp; k̂ nbsp; 5 amp; 7 amp; 3 15 amp; 21 amp; a | =0 ...

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Multiplication with Vectors

If A⃗=5 î+7...

Question

If $\to A = 5^i + 7^j - 3^k$ and $\to B = 15^i + 21^j + a^k$ are parallel vectors then the value of $a$ is:

-3

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-9

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Solution

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Similar questions

\to A = 5^i + 7^j - 3^k

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

a

\to A = 2^i + p^j + q^k

\to B = 5^i + 7^j + 3^k

\to A | | \to B

p

q

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

\to b = 5^i + 3^j + 8^k

\frac{projection of vector b on a}{projection of vector a on b}

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

\to b = (^i + 3^j - 5^k)

(\to a + \to b)

(\to a - \to b)

A

B

\to A = 5^i + 10^j - 3^k

\to B = 2^i + 4^j - c^k

c

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