Question

prove that in Scalar product a =2i+3j+k and b =21-4j+8k are mutually Perpendicular.​

Answer 1

Answer:

Explanation:The vectors,

a = 2i + 3j + k

b = -2i - 2j - 2k

Let the angle between a vector and b vector be Alpha

Angle between a and b:

a.b (dot product) = - 4 - 6 - 2 = -12

|a| and |b| are the magnitude of a vector and b vector

Substitute the values in the formula,

(OR)

The given vectors are,

a = 2i + 3j + k

b = 2i + 4j + 8k

To prove: The vectors are perpendicular

As per the rule, if the dot product of the vector is zero, then the vectors are perpendicular

a.b = 4 + 12 + 8 = 24 ≠ 0

So, the vectors are not perpendicular