Saturday

April 19, 2014

April 19, 2014

Posted by **Alex** on Tuesday, March 25, 2008 at 11:29pm.

Find the projection of u onto v and calculate its magnitude.

a) u = (2,5) v = (6,4)

b) u = (3, 6, -2) v = (-4, 3, 8)

2) If u and v are non zero vectors, but Projection (u unto v) = 0, what conclusion can be drawn?

Would that also mean Projection (v unto u) = 0?

3) Find the projection of PQ onto each of the coordinate axes, where point (2,3,5) and Q is the point (-1,2,5).

- math -
**Reiny**, Wednesday, March 26, 2008 at 1:06amThe projection of vector u onto vector v is defined as

(u∙v)/│v│

u∙v = (2,5)∙(6,4) = 12+20 = 32

│v│ = √(6^2+4^2) = √52

so the projection of u onto v

= 32/√52 = 16/√13

follow this method for the other questions.

Think of the "projection of u onto v" as the 'shadow' cast by u onto v by a light from above shining perpendicular to v.

So if u does not cast a shadow on v, (the projection is zero), what should that tell you about the direction of u in relation to v ??

**Related Questions**

Vectors - Can someone start me off on these and please explain step by step how ...

Algebra help - f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this? This is...

Unit Conversion. Help Please. - Hi, I having trouble with unit conversions. I ...

Math - Use the cross product to find a vector perpendicular to each of the ...

Algebra II- please help! - I just cannot seem to be able to grasp the concept of...

Calculus - Find the equation of the tangent to the curve y=2-e^-x at the point ...

Calculus - 1/a+1 + 1/a-1 I solved this out by multiplying the (a+1) by (a-1) and...

Calculus - Let f(x) = sqrt(3x+15) Find f'(x) The answer is 3/(2sqrt(3x+15) Can ...

AP Calculus - High School - The Temperature T of food put in a freezer is T = (...

Math - Find the maximum or minimum value: -x^2+2x+5 3x^2-4x-2 can someone ...