Saturday

February 28, 2015

February 28, 2015

Posted by **jenna** on Thursday, May 17, 2012 at 4:56pm.

- trigonometry -
**Damon**, Thursday, May 17, 2012 at 5:08pmThere are two kinds of projection of w on to v or of v on to w.

You did not say projection of which on the other or if you want scalar or vector projection.

see below:

Projections

One important use of dot products is in projections. The scalar projection of b onto a is the length of the segment AB shown in the figure below. The vector projection of b onto a is the vector with this length that begins at the point A points in the same direction (or opposite direction if the scalar projection is negative) as a.

Thus, mathematically, the scalar projection of b onto a is |b|cos(theta) (where theta is the angle between a and b) which from (*) is given by

This quantity is also called the component of b in the a direction (hence the notation comp). And, the vector projection is merely the unit vector a/|a| times the scalar projection of b onto a:

Thus, the scalar projection of b onto a is the magnitude of the vector projection of b onto a.

- trigonometry -
**Damon**, Thursday, May 17, 2012 at 5:11pm - trigonometry -
**ky**, Thursday, May 17, 2012 at 5:21pmit was proj with w as a subscript of proj and then v

- trigonometry -
**Damon**, Thursday, May 17, 2012 at 5:27pmI am sorry. I am not familiar with that notation. Follow the recipe in the link I gave you.

**Answer this Question**

**Related Questions**

Trigonometry - Given Triangle ABC: Right Triangles 1. If a = 6 and <B = 53º, ...

Trigonometry - Given triangle ABC with a = 16, b = 14, and Beta = 54°, find the ...

Trigonometry - Given triangle ABC with a = 16, b = 14, and Angle is = 54°, find ...

trigonometry - im really stuck on these, can anyone help me and also explain how...

Trigonometry - Given triangle ABC with gamma = 61.0°, Beta = 29.0°, and b = 20.5...

Trigonometry - find (acute) angle A, given: a. sin A = 0.4919 b. tan A = 2.7775 ...

Trigonometry - Given that circle A has a radius of 52 and a radii AB and AC form...

Trigonometry - Find the area of a sector, given a central angle of 240degrees ...

trigonometry - find the exact values of s in the given intervals that have the ...

Trigonometry - Find the area of a sector, given a central angle of 240° and a ...