Question

Help with vectors

Answer 1

Find the vector that is orthogonal to the projection vector that comprises the sum of two vector components, if v = -2i + 5j and w = 5i + 4j.

Answer 2

v*w=10

Answer 3

\[\frac{ 10 }{ ||5,4||^2 }(5i,4j)\]

Answer 4

\[\frac{ 10 }{ ||\sqrt41||^2 }(5,4)\]

Answer 5

(50/41, 40/41)

Answer 6

v1=( 50/41, 40/41)

Answer 7

v2= (-2i + 5j) - (50/41, 40/41)

Answer 8

v2= (-132/41i,165/41j)

Answer 9

im ot sure what its asking for, i know what a projection is, but what exactly is it asking for?

Answer 10

welp a orthogonals dot product is 0

Answer 11

I am confused with what it is asking for also... I just found the the two points that are inthe multiple choice though

Answer 12

is this what its asking for? find n?

Answer 13

so its either

(-132/41i,165/41j)

( 50/41, 40/41)

Answer 14

v= -2i + 5j ; sqrt(29)
w = 5i + 4j.; sqrt(41)
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-10+20 = 10

v cos(a) = length of proj of v on w

v cos(a) = v.w/|w|

v cos(a) = 10/sqrt(41)

length of n = sqrt(v^2 - (v cos(a))^2) by pythag thrm

and in the direction of (4,-5) is fair

Answer 15

sqrt(29 - 100/41) in the direction of (4,-5), or (-4,5) depending on whre v is :)

Answer 16

welp I am thinking that the projection vector is ( 50/41, 40/41) so i believe this is the answer s: because it is asking what comprises v and w

Answer 17

Find the vector that is orthogonal to the projection vector
this is vector n in my drawing

that comprises the sum of two vector components
i got no idea what this part means


if v = -2i + 5j and w = 5i + 4j.
v on w is not the same as w on v, so this is vague too.

Answer 18

Egh much confusion

Answer 19

is this the actual worded question, or are you paraphrasing?

Answer 20

This is the actual worded question