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anonymous
 one year ago
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
anonymous
 one year ago
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

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.1u 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
 one year ago
Best ResponseYou've already chosen the best response.1from number 2 have you considered finding the dot product?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and the magnitudes of the vectors as well

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\cos(\theta)=\frac{a \cdot b}{a \cdot b} \\ \theta=\arccos( \frac{ a \cdot b}{a \cdot b}) \\ \text{ if } \theta=90^o \text{ then } a \text{ and } b \text{ are orthogonal } \\ \text{ but to find out if they are orthogonal you only need to see if } a \cdot b=0 \\ \text{ this is much shorter than actually finding the angle between the two vectors }\] \[\text{ if } \theta=0^o \text{ or } \theta=180^o \text{ then you have that } a \text{ and } b \\ \text{ are parallel } \\ \text{ but you don't really need to find } \theta \\ \text{ you could just see if } a \cdot b=a \cdot b \text{ or if } a \cdot b =a \cdot b\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@freckles orthogonal?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1u and v are definately orth as one is completely in x and the onther is in y

dan815
 one year ago
Best ResponseYou've already chosen the best response.1and the dot product is also 0, <3,0> dot <0,6>=3*0+0*6=0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@dan815 what did u get for #1

freckles
 one year ago
Best ResponseYou've already chosen the best response.11. Let u = <4, 1>, v = <1, 6>. Find 2u + 4v. do you know how to find 2u and 4v?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1vector addition is done component by component

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no help @dan815 @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1hard 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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