Question

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <6, -2>, v = <8, 24>
Please help I have no idea how to do this....

Answer 1

what is the scalar product of your vectors?

Answer 2

parrell is when it would be -2/6 equals 24/8
orthogonal is when u x v is equal to zero

Answer 3

8x6=48 and 24x-2=-48 so 48+-48 =0 so they are orthogonal

Answer 4

okay! thank you so whats @lex245 whats an example of neither??

Answer 5

@Michele_Laino I'm not sure what that is...

Answer 6

parallel would be like <5,10> and <4,8> because 10/5 = 2 and 8/4=2

Answer 7

orthogonal is when the dot product equals zero

Answer 8

just like the question you originally asked

Answer 9

okay, i get that now. :) thank you!!!

Answer 10

no problem

Answer 11

by definition, the sclar product of your vectors, is the subsequent quantity:
6*8+(-2)*24=...?

Answer 12

scalar*

Answer 13

@Michele_Laino can you solve for all answers \[[0, 2\Pi)\]\[3\tan ^{4}\alpha = 1 +\sec ^{2}\alpha]

Answer 14

please, apply this identity:
\[{\left( {\tan \alpha } \right)^4} = {\left( {\frac{{\cos \alpha }}{{\sin \alpha }}} \right)^4} = \frac{{{{\left( {1 - {{\left( {\sin \alpha } \right)}^2}} \right)}^2}}}{{{{\left( {\sin \alpha } \right)}^2}}}\]