Question

What is the angle between `<3 , -2 , 7 >` and `< 1, -3 , 6 >`?

Answer 1

`=>theta =23.4^@`

Explanation:

• Let First vector be `vecA=3hati-2hatj+7hatk`
• `|vecA|=sqrt(3^2+2^2+7^2)=sqrt62`
• and the 2nd vector be `vecB=1hati-3hatj+6hatk`
• • `|vecB|=sqrt(1^2+3^2+6^2)=sqrt46`
• If the angle between them be `theta`
  then `costheta=(vecA*vecB)/(|vecA||vecB|)`

`=>costheta= ((3hati-2hatj+7hatk)*(1hati-3hatj+6hatk))/(sqrt62*sqrt46)`

`=>costheta= (1+6+42)/(sqrt62*sqrt46)~~0.92`

`=>theta =23.4^@`