Question

Determine the cross product of the vectors (x) and (y):

(x = 13i + 4j - 9k)
(y = -i + 7j - 4k)
a) (37i + 135j - 79k)
b) (-59i + 135j - 79k)
c) (-37i - 135j + 79k)
d) (59i - 135j + 79k)

Answer 1

The cross product of the given vectors (x = 13i + 4j - 9k) and (y = -i + 7j - 4k) is -59i + 135j - 79k.

Step-by-step explanation:

To determine the cross product of the vectors (x) and (y), we can use the formula: (x × y) = (xy * yz - xz * yy)i + (xz * yx - xx * yz)j + (xx * yy - xy * yx)k.

In this case, given x = 13i + 4j - 9k and y = -i + 7j - 4k, we can substitute the values into the formula to obtain: (x × y) = [4 * (-4) - (-9) * 7]i + [(-9) * (-1) - 13 * (-4)]j + [13 * 7 - 4 * (-1)]k.

Simplifying the expression, we get: (x × y) = -59i + 135j - 79k.