Question

Find the inner product for (7,-2,4).(3,8,1) and state whether the vectors are perpendicular.

Answer 1

Answer:

(7, -2.4). (3,8,1) = 9

The vectors are not perpendicular

Step-by-step explanation:

The  inner product between two vectors A = {a, b, c} and B = {d, e, h} is:

$A * B = a * d + b * e + c * h$

In this case the vectors are (7, -2,4) and (3,8,1). Then the product point is:

$(7, -2,4). (3,8,1) = 7 * 3 + (- 2) * 8 + 4 * 1\\\\(7, -2.4). (3,8,1) = 9$

The dot product between two vectors is equal to zero only if the vectors are perpendicular to each other.

In this case the dot product is nonzero, therefore the vectors are not perpendicular