Question

Suppose u=<2,−1> and v=<1,−8> are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are???

Answer 1

Hint: Find u+v and u-v

then find the lengths of those two vectors

Answer 2

so u+v and u-v are the two vectors?

Answer 3

those are the two diagonal vectors, yes

Answer 4

say you had these two vectors

Answer 5

u+v is this new vector



and you find it by using the parallelogram law or the head-to-tip rule

Answer 6

and this would be u - v

Answer 7

so if you form a parallelogram to get

Answer 8

you will have these two diagonals



which are u+v and u-v

Answer 9

ok got it

Answer 10

ok great