If A-5 -7 -3 k- and B-2 -2 -a k- are perpendicular vectors then the value of a is-

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Standard XII

Mathematics

Modulus Function

If A⃗=5 î+7...

Question

If $\to A = 5^i + 7^j - 3^k$ and $\to B = 2^i + 2^j + a^k$ are perpendicular vectors then the value of $a$ is:

-2

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-7

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-8

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Solution

The correct option is B 8
For two perpendicular vectors their dot product is zero:
$\to A \cdot \to B = 0 o r 10 + 14 - 3 a = 0 o r 3 a = 24 o r a = 8$

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If →A=5^i+7^j−3^k and →B=2^i+2^j+a^k are perpendicular vectors then the value of a is:

The correct option is B 8For two perpendicular vectors their dot product is zero:→A⋅→B=0or10+14−3a=0or3a=24ora=8

If $\to A = 5^i + 7^j - 3^k$ and $\to B = 2^i + 2^j + a^k$ are perpendicular vectors then the value of $a$ is:

The correct option is B 8
For two perpendicular vectors their dot product is zero:
$\to A \cdot \to B = 0 o r 10 + 14 - 3 a = 0 o r 3 a = 24 o r a = 8$