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

6

Not perpendicular

Step-by-step explanation:

Generally, when we have two vectors, (x1, x2, x3 ... xn) and (y1, y2, y3 ... yn) the inner product is given by x1*y1 + (x2*y2) + (x3*y3) ... (xnyn)

If the above sum is zero then the two vectors are perpendicular else they are not.

Given (3, 1, 4) and (2, 8, - 2)

The inner product will be

(3*2) + (1*8) + (4*-2) = 6+8-8=6

The inner product is 6 hence not perpendicular.