Question

1 poi
If vector P = -i + i + 2k and vector Q = 4i + 5j + mk, find m if
vector P and vector Q are perpendicular to each other.
m = -1/2
m = 1/2
m = -1
O m = 1

Answer 1

Answer:

A) m = -1/2

Explanation:

P and Q are perpendicular so their dot product will be zero.

(Dimensions of P is denoted by X¹, Y¹, Z¹ and Q is denoted by X², Y², Z²)

P.Q =

(X¹ * X²) + (Y¹ * Y²) + (Z¹ * Z²) = 0

(-1 * 4) + (1 * 5) + (2 * Z²) = 0

-4 +5 + (2 * Z²) = 0

2 * Z² = -1

Z² = -1/2

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