Show and tell how could you find the distance from the point (-2,4) to the point (3,-5)? Is there more than one way to find the distance between the two points? What mathematical theorems...
Show and tell how could you find the distance from the point (-2,4) to the point (3,-5)? Is there more than one way to find the distance between the two points? What mathematical theorems...
A builder needs to build a ramp to a house. It starts at 10 meters from the house, and when it reaches the house it is 0.8 meters higher than where it started. Building regulations state that...
Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
Find a basis of the subspace of R4 defined by the equation 5x1+3x2+2x3-8x4=0
Let v1= [1,2,-1], v2=[-2,-1,1], and y=[4,-1,h]. For what value of h is y in the plane spanned by v1 and v2?
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1] v=?x+?y
Let u=(1,-1,0) and v=(1,-2,-3). Find the vector w=2u-3v and its additive inverse. w= -w=
Find a basis of the subspace of R4 defined by the equation 5x1+3x2+2x3-8x4=0
Let A=[0,3,0,5], B=[2,-3,-1,-1], C=[2,21,8,33], and D=[-2,6,4,4] 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. 2. If they...
Find the volume of the parallelepiped with one vertex at (-5, -1, 1), and adjacent vertices at (-3, 3, -5), (-1, 3, -1), and (-4, 4, 6). volume?
Linear Inequalities: Solve, & give interval notations, show on number line: | 2x+1 | < 3 If I solved it correctly, I got x<1,...
-3(4y-5)=-7(-5-2y)
Solve the system x1+x2-4x3=3 3x1+4x2+3x3=-8 x1=? x2=? x3=?
-3(9y+2)=2(-4y-7)
3(5-h)-2(h-2)=-1
3x + y = 18 2x – y = 7 5x + 3y = 21 2x + 7y = 20 5x + 3y = 31 2x + y = 12 2x + 3y = 1 -x + 2y =...
In The Moment Café, a local eatery, Chef Marie has noticed that the ordering of supplies was not correct last month. This month, she wants to maximize her profit while ordering the correct amount...
What are the equations of the boundary lines in the form y=... for these two inequalities I) 2y+3x> 11 II) 2y> 10x-7 The second equation should...
Find two linearly independent vectors perpendicular to the vector v=[-2,3,-5]
Among all the unit vectors u= <x,y,z> in R3, find the one for which the sum x + 2y + 5z is minimal. u=<>?