anonymous
  • anonymous
precalc givin medals 1. Let u = <-4, 1>, v = <-1, 6>. Find -2u + 4v. <4, 22> <4, 7> <12, -26> <10, -14> 2. Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <3, 0>, v = <0, -6> Orthogonal Neither Parallel
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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freckles
  • freckles
u is a vector the -2 in front of the vector u is a scale factor it is just a number you multiply to each component of u
freckles
  • freckles
from number 2 have you considered finding the dot product?
freckles
  • freckles
and the magnitudes of the vectors as well

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freckles
  • freckles
\[\cos(\theta)=\frac{a \cdot b}{|a| \cdot |b|} \\ \theta=\arccos( \frac{ a \cdot b}{|a| \cdot |b|}) \\ \text{ if } \theta=90^o \text{ then } a \text{ and } b \text{ are orthogonal } \\ \text{ but to find out if they are orthogonal you only need to see if } a \cdot b=0 \\ \text{ this is much shorter than actually finding the angle between the two vectors }\] \[\text{ if } \theta=0^o \text{ or } \theta=180^o \text{ then you have that } a \text{ and } b \\ \text{ are parallel } \\ \text{ but you don't really need to find } \theta \\ \text{ you could just see if } a \cdot b=|a| \cdot |b| \text{ or if } a \cdot b =-|a| \cdot |b|\]
anonymous
  • anonymous
@freckles orthogonal?
dan815
  • dan815
u and v are definately orth as one is completely in x and the onther is in y
dan815
  • dan815
|dw:1435093656622:dw|
dan815
  • dan815
and the dot product is also 0, <3,0> dot <0,-6>=3*0+0*-6=0
anonymous
  • anonymous
@dan815 what did u get for #1
freckles
  • freckles
1. Let u = <-4, 1>, v = <-1, 6>. Find -2u + 4v. do you know how to find -2u and 4v?
dan815
  • dan815
vector addition is done component by component
anonymous
  • anonymous
no help @dan815 @freckles
freckles
  • freckles
hard to help when you don't answer questions like do you know how to find -2u and 4v? I guess you are going to just ignore that question and say we weren't helping you. I don't see how we weren't helping you unless your definition of not help is not getting a direct answer.

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