Question

You are looking down at a map laid out on a table. A vector u with ∥u∥ = 2 points north and a vector v with ∥v∥ = 7 points northeast. what is the magnitude ∥u×v∥

Answer 1

I am getting \[7\sqrt{3}\] as the magnitude

Answer 2

its ||u|| ||v|| sin(45) right ?

Answer 3

I think so

Answer 4

wait I did ||u||||v||sin(60)

Answer 5

then, shudnt it be :-

\(\large 2 \times 7 \times \sin 45\)

\(\large 14 \times \frac{1}{\sqrt{2}}\)

Answer 6

oh why 60 ?

Answer 7

oh nvm the angle between the vectors is 45 so it would be (2)(7)sin45

Answer 8

yup :) NE is at 45 degrees from N and E

Answer 9

is it going down or up from table

Answer 10

u point N, says it

Answer 11

i mean from the quesiton,

... A vector u with ∥u∥ = 2 points north

Answer 12

yes

Answer 13

cross product of u and v points which way

Answer 14

i think we need to use right hand rule / screw rule