Suppose u⎯⎯⎯=⟨−1,1⟩u¯=⟨−1,1⟩ and v⎯⎯⎯=⟨0,−2⟩v¯=⟨0,−2⟩ are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are

The length of the two diagonals of a parallelogram are:

We know that if two vectors form the sides of a parallelogram then the two diagonals of the parallelogram are:

sum of the two vectors and difference of two vectors.

i.e. if u and v are two vectors such that they form the side of  a parallelogram the,

u+v and u-v form the diagonal of a parallelogram.

Here we have:

u=<-1,1>

and v=<0,-2>

Hence,

u+v=<-1,1>+<0,-2>

i.e.

u+v=<-1+0,1-2>

i.e.

u+v=<-1,-1>

Also, the length of the diagonal will be:

||u+v||=||<-1,-1>||

Length of one diagonal is: √2 units

and the other diagonal is formed by the vector:

u-v

i.e.

u-v=<-1,1>-<0,-2>

i.e.

u-v=<-1-0,1-(-2)>

i.e.

u-v=<-1,3>

i.e. the length of the other diagonals is:

||u-v||=||<-1,3>||

Hence,

Hence, length of other diagonal is: √10 units.

answer is c

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

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