Find the area of the parallelogram that has the vectors as adjacent sides
u=-2i+j+5k
v=4i-3j-3k
a. 11
b. sqr rt 26
c. 86
d. 2 sqr rt 86
e. 1
u=-2i+j+5k
v=4i-3j-3k
The area = ll u x v ll
u x v = det [ i j k
2 1 5
4 -3 -3 ] write the first two columns again and take the det
[ i j k i j
2 1 5 2 1
4 -3 -3 4 -3 ]
[ -3i + 20j -6k ] - [ 4k -15i - 6j ] =
[12i + 26j - 10k ]
And the area = sqrt [ 12^2 + 26^2 + ( -10)^2] = sqrt (920) = sqrt (4 * 230) = 2sqrt (230)
Thank you! Could you help me to figure out which of the answer options this is, as I don't have your answer as as one of the options?!