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1. Find the unit vector in the same direction of V=<4,-3>. Graph the corresponding vector in a rectangular coordinate system. 2. Given: A = 3î -5ĵ and B= 2î + 6ĵ. Evaluate W = 4A- 3B 3. Write vector V as a linear combination of the unit vectors î and ĵ given that vector has a magnitude of 16 and an angle of 30 degrees with the positive axis.

1. Find the unit vector in the same direction of V=<4,-3>. Graph the corresponding vector in a rectangular coordinate system. 2. Given: A = 3î -5ĵ and B= 2î + 6ĵ. Evaluate W = 4A- 3B 3. Write vector V as a linear combination of the unit vectors î and ĵ given that vector has a magnitude of 16 and an angle of 30 degrees with the positive axis.

Advanced Engineering Mathematics
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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1. Find the unit vector in the same direction of V=<4,-3>. Graph the corresponding vector in a rectangular coordinate system. 2. Given: A = 3î -5ĵ and B= 2î + 6ĵ. Evaluate W = 4A- 3B 3. Write vector V as a linear combination of the unit vectors î and ĵ given that vector has a magnitude of 16 and an angle of 30 degrees with the positive axis.
Transcribed Image Text:1. Find the unit vector in the same direction of V=<4,-3>. Graph the corresponding vector in a rectangular coordinate system. 2. Given: A = 3î -5ĵ and B= 2î + 6ĵ. Evaluate W = 4A- 3B 3. Write vector V as a linear combination of the unit vectors î and ĵ given that vector has a magnitude of 16 and an angle of 30 degrees with the positive axis.
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