Find the requested vector v 2i 4j k w 5i 2j k Find a v

Find the requested vector. v = -2i + 4j + k, w = 5i - 2j - k Find a vector orthogonal to both v and w. 4i + 11j - 2k - 14i - 2j - 12k 2i - 3j + 3k -2i + 3j - 16k -4i + 2j - 12k Find the area of the parallelogram. P_1(-1, 0, 1), P_2(3, 1, -1), P_3(2, -1, 2) Squareroot 11 3 Squareroot 5 5 Squareroot 6 Squareroot 21 Squareroot 42

Solution

10) Option D)

orthogonal vectro = cross product v x w = -2i + 3j - 16k