rieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 MA-123-A e: 1 of 1 Automatic Zoom a 123 - Calculus 2A Hw-4 Due: March 2, 2020 gibility, organization of the solution, and clearly stated reasoning where appropriate are all aportant. 1. Find the unique unit vector = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of * with (1, 1, 1) and has vi < 0. 2. Find the unique unit vector that bisects the angle between = 37+ 47 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, ß,7) be points in R' for real numbers a, B, and y. %3D (a) For what values of a, B, and y is there a unique plane II, passing through the points P,Q, and R? (b) For such values of a, B, and y, find an equation for the plane II2 which passes through the point Q and is orthogonal to both the plane II1 and the plane II3 given by the equation -3x + y – z + 5 = 0.

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