We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i j k
2 -2 -3
3 2 2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.
The measures of
1=105 degrees and 2=75 degrees
Because the movement of the minute han of a clock is clockwise ↓, then the angle of rotation will be negative.
1) we calculate the number of minutes from 6:10 to 7:00
number of minutes=7:00-6:10=6:60 - 6:10=50 minutes.
2)
We know that:
60 minutes of a clock have turned -360º
Then:
60 minutes of a clock------------------------- -360º
50 minutes of a clock------------------------- x
x=(50 minutes of a clock * (-360º))/60 minutes of a clock=-300º
Answer: A. -300º
