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Given vectors u and v, the projection of u onto v will alwayshave a magnitude less than or equal to |u|have a magnitude greater than or equal to |u|have a magnitude less than or equal to |v|have a magnitude greater than or equal to |v|

User Shanmu
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1 Answer

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10 votes

The projection of a vector "u" into vector "v". This can be represented as follows:

Since the projection and the vector "u" form a right triangle where the magnitude of "u" is the hypotenuse this means that the magnitude of the projection must be less or equal to the magnitude of vector "u" since the hypotenuse in a triangle is always greater or equal than one of its sides.

Therefore, the right option is first option.

Given vectors u and v, the projection of u onto v will alwayshave a magnitude less-example-1
User Totok
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