Vector Projection

Compute the projection of v onto u.

Enter your answer as "(x, y, z)" without the quotes.

Tags

CCSS.HSN.VM.A.1

If xu (the projection of v onto u) is (0, -1.5, -1.5), what is the residual vector?

Enter your answer as "(x, y, z)" without the quotes.

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Let v = (-3, 5, 4) and u = (1, 1, 1)

Compute the projection of v onto u.

Enter your answer as "(x, y, z)" without the quotes.

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11

Let v = (-3, 5, 4) and u = (1, 1, 1)

The projection of v onto u is (2, 2, 2).

What is the residual vector?

Enter your answer as "(x, y, z)" without the quotes.

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Either in your notes or on the whiteboard, draw the vector v = (1, 2), the vector u = (3, 1), the projection of v onto u, and the residual vector r, making sure to label the right angle that r makes with one of the original vectors. Check this off when your instructor says you drew it correctly.

• Did it

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Tags

CCSS.HSG.CO.A.1

CCSS.HSN.VM.A.1