Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹) a^-5|b*(a^×b”). (B) The magnitude of the vector c". (C) A unit vector in the direction of vector c. (D) The angle between the vectors a* and b. (E) The direction angles that define the vector b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let be two vectors, such that a =(3î+2j-2k) cm and b*=(2î+2ƒ+k) cm, calculate:
(A) C=3(a*b) a-5b (axb).
(B) The magnitude of the vector c.
(C) A unit vector in the direction of vector c.
(D) The angle between the vectors a* and b.
(E) The direction angles that define the vector b.
Transcribed Image Text:Let be two vectors, such that a =(3î+2j-2k) cm and b*=(2î+2ƒ+k) cm, calculate: (A) C=3(a*b) a-5b (axb). (B) The magnitude of the vector c. (C) A unit vector in the direction of vector c. (D) The angle between the vectors a* and b. (E) The direction angles that define the vector b.
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