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July 22, 2025, 04:42:57 am

Author Topic: vector and scalar projections  (Read 3159 times)  Share 

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M-D

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vector and scalar projections
« on: April 14, 2013, 07:28:56 am »
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hi,

i have the vector u=(2,1,-1,5) and v=(1,1,-2,-1). the dot product between them is zero which means that they are perpendicular to each other. I need to find the scalar projection of v on to u and the scalar projection of u on to v. is it still possible to find these scalar projections when the vectors are perpendicular to each other?

thanks in advance

nubs

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Re: vector and scalar projections
« Reply #1 on: April 14, 2013, 08:44:45 am »
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It will just be zero
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lzxnl

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Re: vector and scalar projections
« Reply #2 on: April 14, 2013, 10:08:22 am »
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As nubs said, the answer is zero.
If you use the vector resolute formula, which in this case is u.v/v.v * v, you'll find that the vector resolute is the zero vector. Therefore, the scalar resolute is zero.
OR: Draw out a diagram and you'll see that if you decompose u into two components, one parallel to v and one perpendicular to v, u itself IS perpendicular to v, meaning that there is no parallel component.
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