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given the vectors v=-2i+5j and w=3i+4j, determine

1. (1/2)v
2. w-v
3. length of w
4. the unit vector for v

2007-08-22 11:18:18 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

1: -1+2.5j
2: 5i-j
3: 5
4:-2/29i +5/29j

2007-08-22 11:22:23 · answer #1 · answered by peteryoung144 6 · 0 0

0.5v = -1i + 2.5j take one half of all coefficients.
w-v = 3i - (-2i) +(4j-5j) = 5i-j
length of w = SQRT(3^2 + 4^2) = SQRT(9=16)= 5
unit vector of v is vector v / length of v
lenght of v = sqrt(4+25) = sqrt29
so unit vector of v = -2/sqrt29 i + 5/sqrt29 j

2007-08-22 18:25:32 · answer #2 · answered by 037 G 6 · 1 0

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