Consider the points A = (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6).a. Compute the vectors v =BA and w = BC.b. Compute the cross product v×w.c. Find an equation for the plane containing the points A, B, and C.

Consider the points A = (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6). a. Compute the vectors v =BA and w = BC. b. Compute the cross product vxw. c. Find an equation for the plane containing the points A, B, and C.

Consider the points A = (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6). a. Compute the vectors v =BA and w = BC. b. Compute the cross product vxw. c. Find an equation for the plane containing the points A, B, and C.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 13EQ: In Exercises 13 and 14, give the vector equation of the plane passing through , and . 13.

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Question

Consider the points A = (3, 1, 0), B = (0, 2, 0), C = (0, 1, 6).
a. Compute the vectors v =BA and w = BC.
b. Compute the cross product v×w.
c. Find an equation for the plane containing the points A, B, and C.

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