Question3 : We have a triangular pyramid OABC in R defined by points O (origin), A(1, 3, –1), B(2,1, –2) and С(3, —2,4). (3a) Find the angle between vector OA and the plane passing through points A, B, C. (3b) Let N be the mid point between A and B. Find the distance from N to the plane passing through points O, A and C. (3c) Let L1 be the line passing through points A and B. Let L be the line passing through points O and C. Write down parametric equations for these lines and find the distance between them.

Question3 : We have a triangular pyramid OABC in R defined by points O (origin), A(1, 3, –1), B(2,1, –2) and С(3, —2,4). (3a) Find the angle between vector OA and the plane passing through points A, B, C. (3b) Let N be the mid point between A and B. Find the distance from N to the plane passing through points O, A and C. (3c) Let L1 be the line passing through points A and B. Let L be the line passing through points O and C. Write down parametric equations for these lines and find the distance between them.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 16EQ

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