Question

Find the component form of v given its magnitude and the angle it makes with the positive x-axis.
||v||=3
v in direction 3i +4j

Answer 1

3i +4j has unit vector of


3/5 i + 4/5 j

Answer 2

we are going 3 unit in that direction

3(3/5 i + 4/5 j)=9/5 i + 12/5 j

Answer 3

finding unit vector

vector/ magnitude


3 i + 4 j

3^2+ 4^2=5^2

Answer 4

why is it over 5???

Answer 5

we need unit vector .

unit vector = vector/magnitude

magnitude=5

Answer 6

i don't get how you got 5

Answer 7

magnitude is attained by

\[a i + b j\]

squaring each component , adding them together , and taking square root

\[\sqrt{a^2+b^2}\]

Answer 8

ok... so i would do