Find the direction cosines of x,y,and z-axis. | vedclass

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Question

(A) The $x$-axis makes angles $0^{\circ}, 90^{\circ}$,and $90^{\circ}$ with the $x$,$y$,and $z$-axes respectively. Therefore,the direction cosines of

Vedclass · Accepted Answer

$(1, 0, 0), (0, 1, 0), (0, 0, 1)$

Vedclass · Answer

(A) The $x$-axis makes angles $0^{\circ}, 90^{\circ}$,and $90^{\circ}$ with the $x$,$y$,and $z$-axes respectively. Therefore,the direction cosines of the $x$-axis are $\cos 0^{\circ}, \cos 90^{\circ}, \cos 90^{\circ}$,which are $(1, 0, 0)$. Similarly,the $y$-axis makes angles $90^{\circ}, 0^{\circ}$,and $90^{\circ}$ with the $x$,$y$,and $z$-axes respectively. Therefore,the direction cosines of the $y$-axis are $\cos 90^{\circ}, \cos 0^{\circ}, \cos 90^{\circ}$,which are $(0, 1, 0)$. Finally,the $z$-axis makes angles $90^{\circ}, 90^{\circ}$,and $0^{\circ}$ with the $x$,$y$,and $z$-axes respectively. Therefore,the direction cosines of the $z$-axis are $\cos 90^{\circ}, \cos 90^{\circ}, \cos 0^{\circ}$,which are $(0, 0, 1)$.

Find the direction cosines of $x$,$y$,and $z$-axis.

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