Question

Two vectors and P = xi – j-2k Q = 3k–2j+k are perpendicular to each other. Then the value of x is​

Answer 1

Explanation:

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Answer 2

The value of x is 0.

Given,

Two vectors P = xi – j-2k Q = 3i–2j+k are perpendicular to each other.

To Find,

The value of x.

Solution,

If two vectors are parallel then the value of their dot product is always 0.

The dot product, also called the scalar product, of two vectors, is a number ( Scalar quantity) obtained by performing a specific operation on the vector components.

So,

P.Q = 0

(xi – j-2k).(3k–2j+k) = 0

3x+2-2 = 0

3x = 0

x = 0

Hence, the value of x is 0.

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