Question

Given the vectors A (m, 1, 0) , B(m-1, 2m, 2) e C(1,3,-1). They are vertex of a rectangle triangle. find the value for m variable in the way that the triangle ABC be rectangle in the A angle. And so find the area of this triangle

Answer 1

rectangle triangle sounds like a abomination of science

Answer 2

do you mean right triangle?

Answer 3

<m,1,0>
<1,3,-1>
---------
m+3-1 = 0

m = -2 ?

Answer 4

the distances magnitudes of the vectors are the lengths of the sidses of the triangle

Answer 5

1+1+9 = 11

C = sqrt(11)

5,1,0 = 6

A = sqrt(6)

Answer 6

B(m-1, 2m, 2) = (-3,-4,2) = 9+16+4 = 29

B = sqrt(29)

i wonder if these make a right triangle :)

Answer 7

class starting soon, gotta get :)