Determine the value of t such that the scalar projection of b = (1, 2 + t) on a = (5, -3) is 7
thank you and 10 points for best answer!!
thank you and 10 points for best answer!!
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scalar projection of (1, 2+t) on < 5, -3 > = b.a/II a II
=> (5 - 6 - 3t)/(√34) = 7
=> -1 - 3t = 7√34
-3t = 1 + 7√34
t = -1/3(1 + 7√34)
=> (5 - 6 - 3t)/(√34) = 7
=> -1 - 3t = 7√34
-3t = 1 + 7√34
t = -1/3(1 + 7√34)
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