If A = 2i + j - k, B = 2i - 3j + 3k, R = i - j + 4k, and A + B + C = R, then C is
A) 5i - 3j + 6k.
B) -3i + j + 2k.
C) 3i - j - 2k.
D) -3i + j 2k. -

Question

Quizplus · Accepted Answer

To find C, we can rearrange the equation A + B + C = R to C = R - A - B. Substituting the given vectors, we get C = (i - j + 4k) - (2i + j - k) - (2i - 3j + 3k). Simplifying this, we get C = -3i + j + 2k, which matches option B.

If a = 2i + J - K, B =