Watching videos on khan academy..hard to follow his length of a vector video. so need a bit of help here.
u= (1, 2, 3) v= (-2, 0, 1)
Find the legnth of u & v
i got ||u||= √1²+2²+3² =3.741
||v|| = -√2²+0²+1² = -2.236
3.741+ -2.236 = ||u v|| = 1.51
am i doing this right?
Length of v is √( (-2)2 + 02 + 12) = √(4+0+1) = √5
√5=2.2360679774997897
If the last part is meant to be the length of the vector sum of u and v, then you have to sum the components first, before calculating the length, not add the lengths of the individual vectors together.
u+v = (-1, 2, 4)
length of u+v = √( (-1)2 + 22 + 42) = √21
√21=4.58257569495584