Answer:
[tex]\vec a\cdot \vec b=0[/tex]
Step-by-step explanation:
Dot Product of Vectors
Suppose we have two vectors [tex]\vec a[/tex] and [tex]\vec b[/tex], the dot product of both vectors is defined as
[tex]\vec a\cdot \vec b=|a|.|b|.cos\alpha[/tex]
where |a| and |b| are the respective magnitudes of the vectors and [tex]\alpha[/tex] is the angle between them.
The angle of the first given vector is 47° counterclockwise and the second is 43° clockwise. The angle between the vectors is 90°, thus
[tex]\vec a\cdot \vec b=|a|.|b|.cos90^o[/tex]
Since cos 90° = 0
[tex]\vec a\cdot \vec b=0[/tex]
The dot product of two perpendicular vectors is zero
