For what value of k the vector 2 3 4 and 1 k 1 is orthogonal

For what value of k the vector (2, 3, 4) and (1, k, 1) is orthogonal?

Solution

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Kindly note that two vectors are orthogonal if their dot product is 0.

Vector 1 = 2i + 3j + 4k

Vector 2 = 1i + kj + 1k

Dot product = 2 + 3k + 4 = 0

K = -2

Solution