If a unit vector makes angles and an acute angle θ with then find θ and hence, the components of .


Let

Given that it is a unit vector,


So, ……(1)


Let be the angle with respectively.


Then,



(given)




(given)





Putting value of x,y, z in equation (1)



(Squaring both sides)






As should be acute,



Components of are the coefficients of , which are,



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