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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

**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

Since v₁, v₂, ...,

**v**ₘ are linearly independent, then the equation: a₁ v₁ + a₂...of any set of vectors. Now assume that {v₁, v₂, ...,**v**ₘ₊₁,**v**ₘ₊₁} is not linearly independent. Therefore...3 Answers · Science & Mathematics · 06/04/2017

**v**= 100 e^(-2.31)**v**≈ 9.9264 Answers · Science & Mathematics · 25/06/2013

...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

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

**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 check12 Answers · Science & Mathematics · 16/02/2011

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

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

... 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