Let A =8i+9j+ 12k, B=9i+6j+k, and C=3i+5j+10k. Calculate the (scalar) projection CA of C onto the plane of A and B (see illustration below). (Hint: C = C+ CAB) {Ans.: CAB = 11.58} 2 ûn Cn A + CAB Plane of A and B B

Let A =8i+9j+ 12k, B=9i+6j+k, and C=3i+5j+10k. Calculate the (scalar) projection CA of C onto the plane of A and B (see illustration below). (Hint: C = C+ CAB) {Ans.: CAB = 11.58} 2 ûn Cn A + CAB Plane of A and B B

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Question in pic below. My answer is too big, so I think I'm not using the right method.

Let A =8i+9j+ 12k, B=9i+6j+k, and C=3i+5j+10k. Calculate the (scalar) projection CA
of C onto the plane of A and B (see illustration below).
(Hint: C = C+ CAB)
{Ans.: CAB = 11.58}
2
ûn
Cn
A +
CAB
Plane of A and B
B

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