# Projection of a onto b

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The dot product of two vectors a= and b= is given by The scalar projection of b onto a is the length of the segment AB shown in.

and what happened in the 50sThe vector projection of a on b is the unit vector of b by the scalar projection of a on b :. The scalar projection of a on b is the magnitude of the vector projection of a on b. Online calculator. Vector projection. Projection of the vector AB on the axis l is a number equal to the value of the segment A 1 B 1 on axis l , where points A 1 and B 1 are projections of points A and B on the axis l Fig. The vector projection of a vector a on a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. Examples of plane tasks Example 1.

The vector projection of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. It is a vector parallel to b.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. When finding the orthogonal projection for this problem, why were those vectors added? Aren't the vectors normally subtracted for Gram-Schmidt and finding projections?

## Introduction to projections

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Introduction to projections (video) | Khan Academy