Please help me these questions, many thanks!ââ
Determine whether A(-2, 1, 4), B(4, 3, 0) and C(19, 8, -10) are collinear. Determine a and b if A(2, -3, 4), B(11, -9, 7) and C(-13, a, b) are collinear. Find a vector v in the opposite direction to w = (-1, 4, 1) and with a magnitude of 6 units. Find scalars a and b such that a(1, -1) + b(2, 5) = (-8, -27). Determine the angle between the lines x - y = 3 and 3x + 2y = 11. Determine c if 2i + cj + (c - 2)k and ci + 3j + ck are orthogonal. Determine all vectors orthogonal to both (2, 3, -1) and (1, -2, 2).
