solve pls Let a = 9, -1, -10 and b = 2, 3, 6 be vectors. Find the scalars and ve

Question

solve pls

Let a = 9, -1, -10 and b = 2, 3, 6 be vectors. Find the scalars and vectors defined below. Note that these formulas only depend on = a / || a ||, the unit vector in the direction of a. The component of b along a: = middot b = The projection of b onto a: (Note: you can write this without square roots.) Pab = ( middot b) = The projection of b orthogonal to a: (This is defined in terms of the previous projection.) = b-pab = ( ) Hint: The meaning of these projections is seen from examples where a = i = 1,0,0 . comp i 2, 1, 5 = 2, Pi 2, 1, 5 = 2, 0, 0 ,and 2, 1, 5) = 0, 1, 5

Explanation / Answer

the component of b along a is = [18-3-60]/sqrt[182]= -3.335

the projection of b along a is = [18-3-60]/[182]* (9i-j-10k)

projection of b orthogonally =4.225i+2.775j+3.75k

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