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1. Find each quantity if v= 3i-5j and w=-2i+3j?

||v|| = √((3)² + (-5)²) = √(9 + 25) = √34 ||w|| = √((-2)² + (3)²) = √(4 + 9) = √13 ||v|| - ||w|| = √34 - √13 ≈ 2.2254

2 Answers · Science & Mathematics · 14/03/2013

2. sin v + (cos v) / 4 = 0?

sin v + (cos v) / 4 = 0 => sin v = - (cos v) / 4 => (sin v) / (cos v) = -1 / 4 => tan v = -(1 / 4...by [a^2 + b^2 = c^2], c^2 = 1 + 16 => c = root17 Thus, cos v = adjacent / hypotenuse = 4 / root17. Since either [sin v ] or [cos v...

2 Answers · Science & Mathematics · 21/09/2008

3. Suppose that π: V → V is a projection. Show that...?

Let v be in V. Since π is a projection, π^2 = π. Thus if v is in V, π(v - π(v)) = π(v) - π^2(v) = π(v) - π(v) = 0, i.e., v - π(v) is in ...

1 Answers · Science & Mathematics · 27/11/2012

4. let v: [0, infinity] ---> R given by v(t) = -0.5 (t +5)^2 +2000 find?

a) v(t) =-0.5(t+5)^2 +2000 v'(t) = -0.5 (2)(t+5) = -1(t+5) = -t-5 v'(10) = -10-5 =-15 (instantaneous...t)=-10 -10 = -t-5 add 5 to both sides -5 = -t t = 5 c) [v(2)-v(0)]/(2-0) = [v(2)-v(0)] /2 v(2) = -0.5(2+5)^2 +2000 = -0.5...

1 Answers · Science & Mathematics · 02/09/2011

5. Algebraic expression in v?

sin(arcsin(t)) = t cos(t)^2 + sin(t)^2 = 1 Combining those: cos(arcsin(v))^2 + sin(arcsin(v))^2 = 1 cos(arcsin(v))^2 + v^2 = 1 cos(arcsin(v))^2 = 1 - v^2 cos...

1 Answers · Science & Mathematics · 16/08/2015

6. how do i solve D=M/V?

make a triangle like this one v ....^ .../M\ / D |V \ -----|----- put m on top, d on the...the little line is like a division bar. if you're trying to find V, it'll be m/d ...line again. &If you're trying to find M...

9 Answers · Education & Reference · 30/09/2009

7. find a unit vector in the direction of v: v=3i-2j?

V = 3î – 2 ĵ             _________         │V...V ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  Unit Vector for vector V = V ⁄ √13              = (3 ⁄ √13)î – (2...

3 Answers · Education & Reference · 14/03/2013

8. Solving Inequalitie v+1>v-6?

v + 1 > v - 6 (subtract v from both sides) 1 > -6 The variables...true. Therefore, there are infinitely many solutions and v is all real numbers (in simpler words, v can...

2 Answers · Education & Reference · 18/11/2010

9. cos(v − u) ? Help please?

cos ( v - u ) = cos(v) * cos(u) + sin(v) * sin(u) since both u and v are in the II Quadrant, using sin(theta) = p/h , and...

3 Answers · Science & Mathematics · 26/03/2011

10. Find tan(u - v)?

...problem is not too hard. What you need to find is tan u and tan v. You can do this given sin u and cos v. Sin is opposite...

2 Answers · Science & Mathematics · 09/07/2008