Saturday

April 19, 2014

April 19, 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> ???

**Related Questions**

Calculus - A pendulum swings through an arc length of 1120 cm (Swing #1). With ...

Calculus Hard Question - A pendulum swings through an arc length of 1120 cm (...

PHYSICS - how to calculate formula for period of a cylinder that depends on ...

calculus - a box has a length of 32 centimeters a width of 51 cm and a height of...

Pre-Calculus - Sue is building a triangle out of sticks. The length of the first...

physics - Sir please let me know that how do we calculate time period of the ...

Math question? - Calculate the length of the diagonal for the given rectangular ...

Pre-calculus - The length of the radius of a circle is 12 cm at the measure of a...

physics - 1)An elastic material has a length of 36cm when a load of 40N is hung ...

calculus - Find the arc length of the graph of y = x from x = 0 to x = 3 using ...