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anonymous

  • 5 years ago

Find the angle between the vectors u and v if u = (- 1, 1) and v = (3, 1). Round answer to two decimal places. A. 114.64o B. 115.33o C. 116.57o D. 117.53o E. 117.98o

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  1. amistre64
    • 5 years ago
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    cos(t) = v.u/|v||u| t = cos^-1(v.u/|v||u|)

  2. anonymous
    • 5 years ago
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    The angle between a horizontal line. ( say the x axis) and 1,1 is 45 The angle between the horizontal and 3,1 is 15.

  3. anonymous
    • 5 years ago
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    So the angle should be 30

  4. amistre64
    • 5 years ago
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    the angle is measured in counter clockwise rotation

  5. anonymous
    • 5 years ago
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    ok so amistre.... I have that formula and plugged in my numbers -2/llull llvll

  6. amistre64
    • 5 years ago
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    -1,1 3,1 ----- -3+1 = -2 = v.u

  7. anonymous
    • 5 years ago
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    right i got that

  8. amistre64
    • 5 years ago
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    |v| = sqrt(2); |u| = sqrt(10) = sqrt(20) = 2sqrt(5)

  9. amistre64
    • 5 years ago
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    -2 ------- = -1/sqrt(5) right? 2 sqrt(5)

  10. anonymous
    • 5 years ago
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    yes when simplified noew I take the arc cos of that

  11. anonymous
    • 5 years ago
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    *now

  12. anonymous
    • 5 years ago
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    so it's looking like c

  13. amistre64
    • 5 years ago
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    cos^-1(-1/sqrt(5)) = .... 116.5650

  14. amistre64
    • 5 years ago
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    C is it :)

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