# We have 3-dimensional vectors x1⎣⎢⎡a1a2a3⎦⎥⎤x2⎣⎢⎡a1−a2a3⎦⎥⎤Px

$= $

and

$= $

What is the signed magnitude c of the projection $ _{1}↦x_{2}$

of $x_{1}$ onto $x_{2}$ ?

More precisely, let **u** be the unit vector in the direction of the correct choice above, find a number** c **such that $Px_{1}↦x_{2}$ = **cu**

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Image transcriptions

Recall from linear algebra the definition of the projection of one vector onto another. As 611 01 before, we have 3—dimensional vectors x") = a2 and 36(2) = —a2 a3 03 Which of these vectors is in the same direction as the projection of x") onto x9)?

What is the signed magnitude c of the projection px(1)_,x(2) of x") onto x0)? More precisely, let u be the unit vector in the direction of the correct choice above, find a number c such that Px(1)—>x(2) = cu.

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