I. VECTORS A. Let A=(-2, 5), B=(3, -4) be vectors in R². 1. Find the magnitude and direction angle of A and B. 3. Find ||3A-2B||, ||2A+3B||, ||2B||+||–3A||, ||3A||—||2B||, ||A+4B|| . 5. Find A.B, A.2B, (2B-3A)||A||, (B-2A)B, 2A-3B ||B||

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I. VECTORS
A. Let A= (-2,5), B = (3, -4) be vectors in R².
1. Find the magnitude and direction angle of A and B.
3. Find ||3A-2B|| , ||2A+3B||, ||2B||+||–3A||, ||3A||—||2B||, ||A+4B|| .
5. Find A.B, A.2B, (2B-3A)||A||, (B.2A)B,
2A-3B
B||
Transcribed Image Text:I. VECTORS A. Let A= (-2,5), B = (3, -4) be vectors in R². 1. Find the magnitude and direction angle of A and B. 3. Find ||3A-2B|| , ||2A+3B||, ||2B||+||–3A||, ||3A||—||2B||, ||A+4B|| . 5. Find A.B, A.2B, (2B-3A)||A||, (B.2A)B, 2A-3B B||
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