Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle between A and B b) Scalar projection of A on B Vector projection of B on A d) Area of the parallelogram whose sides are specified by A %3D and B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and
С-2а, -2а, +7а, compute :
a) Angle between A and B
b) Scalar projection of A on B
c) Vector projection of B on A
d) Area of the parallelogram whose sides are specified by A
and B
Q2. Given points P(4,-5,4), Q(-2,3,2) find:
a Draw position vector of point P and Q
b) Draw and write The distance from P to Q.
c) A unit vector directed from P to Q.
Transcribed Image Text:Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and С-2а, -2а, +7а, compute : a) Angle between A and B b) Scalar projection of A on B c) Vector projection of B on A d) Area of the parallelogram whose sides are specified by A and B Q2. Given points P(4,-5,4), Q(-2,3,2) find: a Draw position vector of point P and Q b) Draw and write The distance from P to Q. c) A unit vector directed from P to Q.
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