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1. Find u x v and show that it is orthogonal to both u and v?

u x v=(u2v3-u3v2)i+(u3v1-u1v3)j+(u1v2-u2v1)k u x v=(2*0-3*1)i+(3*0-3*0)j+(-3*1-2*0) =(-3,0,-3) To show that u...

1 Answers · Science & Mathematics · 18/03/2012

2. Let u = (2,-2,3) and v = (1,-3,4)?

||u|| = √((u_1)² + (u_2)² + (u_3)²) where u = (u_1, u_2, u_3) = (2, -2, 3...3)² + (4)²) ||v|| = √(1 + 9 + 16) ||v|| = √(26) ||u|| + ||v|| = √(17) + √(26) ||u + v|| = √((u+v_1)² + (u+v_2...

1 Answers · Science & Mathematics · 27/05/2009

3. Need help solving for U.?

u - 2/3 = - 4/3 u - 3/5 Multiply everything by 15(the GCM of 3 and 5) you get 15u -10= -20u -9 15u+20u= -9 +10 35u=1 u=1/35

3 Answers · Science & Mathematics · 08/03/2012

4. HELP!!! sin u= (4/5) 0<u<Pi/2?

sin(u) = 4/5 = y/z x^2 + y^2 = z^2 x^2 + 4...x^2 = 25 - 16 x^2 = 9 x = 3 1) cos(u) = x/z = 3/5 <==== positive since... to take the positive root. sin(u/2) = + √( (1-cos u)/2 ) sin(u/2) = √( (1- (3...

3 Answers · Science & Mathematics · 17/08/2011

5. If u dot (v x w) = |u||v||w|, show that u dot v = u dot w = v dot w = 0?

By definition u.v x w = |v x w| |u| cosθ where θ is the angle between u and v x w... where Θ is the angle between v and w. So u.v x w = |v||w| sinΘ |u| cosθ and this is equal to |u||v...

2 Answers · Science & Mathematics · 03/10/2009

6. If u=sin^-1(√x^2+y^2) then x(∂u/∂x) + y(∂u/∂y)=?

u = arcsin[√(x² + y²)] ∂u/∂x = 1/√[1 - (x² + y²)] • x/√(x² + ...) / √[1 - (x² + y²)] = tan[u] Note that u = arcsin[√(x² + y²)] implies that sin[u...

1 Answers · Science & Mathematics · 18/07/2011

7. Solve for U in this equation?

Multiply everything by (u-1)(u-3) and then cancel identical terms to clear the fractions: (u+7...3) / (u-3) (u+7)(u-3) + (u-1)(u-3) = (u+3)(u-1) Multiply everything out: u^2 + 4u - 21 + u^2 - 4u + 3 = u^2 + 2u - 3 Combine terms: 2u^2 - 18...

4 Answers · Science & Mathematics · 09/05/2011

8. u, v and w are mutually perpendicular?

(u + v + w) · (u + v + w) = (u + v + w) · u + (u + v + w) · v + (u + v + w) · w = (u · u + v · u + w · u) + (u · v + v · v + w · v) + (u · w + v · w + w · w) = (u · u + 0 + 0) + (0 + v · v + 0) + (0 + 0 + w · w), since u,v,w are mutually perpendicular...

3 Answers · Science & Mathematics · 14/06/2015

9. What is sin u = 1/3 and sin v = 1/4?

sin(u) = 1/3 = y/z x^2 + y^2 = z^2 x^2 + 1^2 = 3^2 x^2 = 9 - 1 x^2 = 8 x = 2√(2) cos(u) = x/z = 2√(2)/3 sin(v) = 1/4 = y/z x^2 + y^2 = z^2 x^2 + 1^2 = 4^2...

4 Answers · Science & Mathematics · 06/11/2011

10. how do u know?

u dont u just feel it. like 4 me if i talk to someone,(a guy) for a while and i feel some sort of attraction, i just kinda get a crush on them and i know i like them

14 Answers · Family & Relationships · 14/10/2007