Question

the sum of the angles made by the vector a=3k-3i with +x axis and +y axis​

Answer 1

A=Axi^+Ayj^+Azk^

then, the angles which it makes with coordinate axes are given by:

cosθ=Amagnitude of component along concerned direction

where A is the magnitude of A is A=32+62+22=7

therefore, angle with x- axis α=cos−173

                 angle with y-axix β=cos−176  

                 angle with z-axis γ=cos−172     

Answer 2

A=Axi^+Ayj^+Azk^

then, the angles which it makes with coordinate axes are given by:

cosθ=Amagnitude of component along concerned direction

where A is the magnitude of A is A=32+62+22=7

therefore, angle with x- axis α=cos−173

                angle with y-axix β=cos−176

                angle with z-axis γ=cos−172      

 

Explanation: