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Find a two unit vectors that make the angle [itex]\pi[/itex]/3 with the vector [itex]\vec{v}[/itex] = [itex]\vec{i}[/itex] + 2[itex]\vec{j}[/itex] + 3[itex]\vec{k}[/itex]. "That isn't asking much since there are apparently infinite such vectors" - Prof.
I get as far as to say that [itex]\pi[/itex]/3 = arccos( 1/2 ) and that [itex]\frac{v \bullet w}{|v||w|}[/itex] = 1/2 but from there I am lost as to how to figure this out.
Help is appreciated! Thanks!
I get as far as to say that [itex]\pi[/itex]/3 = arccos( 1/2 ) and that [itex]\frac{v \bullet w}{|v||w|}[/itex] = 1/2 but from there I am lost as to how to figure this out.
Help is appreciated! Thanks!