The direction cosines of three mutually perpendicular straight lines are $$l1$$,$$m1$$,$$n1$$,$$l2$$,$$m2$$,$$n2$$,$$l3$$,$$m3$$,$$n3$$. Then the direction cosines of a line which is equally inclined to the given three lines, are

Question

The direction cosines of three mutually perpendicular straight lines are $$l1$$,$$m1$$,$$n1$$,$$l2$$,$$m2$$,$$n2$$,$$l3$$,$$m3$$,$$n3$$. Then the direction cosines of a line which is equally inclined to the given three lines, are

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Given  $$l1$$,$$m1$$,$$n1$$,$$l2$$,$$m2$$,$$n2$$,$$l3$$,$$m3$$,$$n3are$$ the direction cosines of three mutually perpendicular lines It implies that ∑$$l1l2=$$∑$$l2l3=$$∑$$l1l3=0$$,∑$$l12=$$∑$$l22=$$∑$$l32=1Hence$$ the direction cosines of line which is equally inclined to the above lines are $$l1+l2+l33$$,$$m1+m2+m33$$,$$n1+n2+n33$$,

The direction cosines of three mutually perpendicular straight lines are $〈l_{1}, m_{1}, n_{1}〉, 〈l_{2}, m_{2}, n_{2}〉, 〈l_{3}, m_{3}, n_{3}〉$ . Then the direction cosines of a line which is equally inclined to the given three lines, are

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The direction cosines of three mutually perpendicular straight lines are l1,m1,n1,l2,m2,n2,l3,m3,n3. Then the direction cosines of a line which is equally inclined to the given three lines, are

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The direction cosines of three mutually perpendicular straight lines are $〈l_{1}, m_{1}, n_{1}〉, 〈l_{2}, m_{2}, n_{2}〉, 〈l_{3}, m_{3}, n_{3}〉$ . Then the direction cosines of a line which is equally inclined to the given three lines, are