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1. ### Let u and v be distinct vectors of a vector space V. Show that if?

For {u+v,au}, you need to show a couple of ...linearly independent set. 2) That {u+v,au} spans V. Neither...cv = x. Since {u,v} spans V, we know that there are unique ...

2 Answers · Science & Mathematics · 24/09/2007

2. ### Vectors : ||v||=1, what is the value of v?

v the vector? No one can say, could be anything, also it depends on how...3)) i-hat + 1/sqrt(3) j-hat + 1/sqrt(3) k-hat, and anything else. people often write v (no bold or arrow on top) for shorthand to be |v| which is the same thing as ||v...

4 Answers · Science & Mathematics · 30/07/2010

3. ### What if vectors are linearly independent and do not span V?

Since v₁, v₂, ..., vₘ are linearly independent, then the equation: a₁ v₁ + a₂...of any set of vectors. Now assume that {v₁, v₂, ..., vₘ₊₁, vₘ₊₁} is not linearly independent. Therefore...

3 Answers · Science & Mathematics · 06/04/2017

v = 100 e^(-2.31) v ≈ 9.926

4 Answers · Science & Mathematics · 25/06/2013

5. ### help with tan(u + v)?

...the trigonometric function given that sin(u) = -15/17 and cos(v) = -3/5. (Both u and v are in Quadrant...u = 15/8. You can do a similar thing to determine tan v knowing cos v, except that this time we know the length of...

2 Answers · Science & Mathematics · 28/03/2011

6. ### 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

7. ### I tried to solve this problem but I can't seem to get v-(4-v)=-2(2v-1)?

v-(4-v)=-2(2v-1) v-4+v=-4v+2 2v-4=-4v+2 2v+4v=2+4 6v=6 v=1 answer checking 1-(4-1)=-2(2(1)-1) 1-3=-2(2-1) -2=-2 check

12 Answers · Science & Mathematics · 16/02/2011

8. ### Find the component of u along v.?

Let v = OA, where O is the origin. If the angle between OA...tan a = 6/8 =3/4 and cos a = 4/5.The magnitude of the component of u along v is simply |u| cos a= 5*4/5 = 4. Hence the component is 4w, where...

3 Answers · Science & Mathematics · 05/01/2014

9. ### 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||w...

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

10. ### how do i measure SA:V?

... is proportional to linear dimensions cubed, i.e. V = X3. The volume of the smaller cube is 1 m3, whereas the...

2 Answers · Science & Mathematics · 04/05/2007