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2. [0.25/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 12.3.AE.006. MY NOTES PRACTICE ANOTHER Video Example () EXAMPLE 6 Find the scalar projection and vector projection of

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2. [0.25/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 12.3.AE.006. MY NOTES PRACTICE ANOTHER Video Example () EXAMPLE 6 Find the scalar projection and vector projection of b = (2, 1, 3) onto a = (-1, 2, 3). SOLUTION Since lal = V (-1)2 + 22 + 32 = v 14, the scalar projection of b onto a is comp b _ a . b (-1)(2) + 2(1) + 3(3) lal V 14 9 The vector projection is this scalar projection times the unit vector in the direction of a, below. (a . b) (a .b) projab = X a la lal la / 2 X . a 18 18 81 = 14' 14' 14 X

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