Sunday

November 23, 2014

November 23, 2014

Posted by **Heather** on Wednesday, January 16, 2013 at 11:18pm.

a) Calculate the length of the projection of v in the u direction.

b) Calculate the cosine of the angle between u and v.

Your help is very much appreciated!

- Calculus 3 -
**Reiny**, Thursday, January 17, 2013 at 12:07amu = (1,1) , v = (1,√2)

The projection of v on u

= v.u/|u

= (1 + √2)/√(1^1+1^1) = (1+√2)/√2

or (√2+2)/2

b)

u.v = |u||v|cosŲ

1+√2 = √2 √3 cosŲ

cosŲ = (1+√2)/√6 or (√6 + 2√3)/6

- Calculus 3 -
**Heather**, Thursday, January 17, 2013 at 11:52ami'm confused on how you got u=(1,1) and v=(1,sqrt2). Shouldn't they each have 3 coordinates?

u=<0,1,1> and v=<1,sqrt2,0> ???

**Answer this Question**

**Related Questions**

Trigonometry - Cosine of angle - What is the cosine of the angle between two ...

math - If the angle of declination is known, a surveyor would use_______ to find...

projectile motion - A missile is fired upwards from the top of a cliff in a ...

physics - A stone is projected upward at an angle of 60degree to the horizontal ...

physics - A stone is projected upward at an angle of 60degree to the horizontal ...

Physics - I have a golf ballthat is hit for 0.20s at an angle to the horizontal ...

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

Physics - Question: Calculate the direction of Earth's magnetic field. 3 ...

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

Sine, cosine law - The Pont du Gard near Nimes, France is a roman aqueduct. An ...