If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) `(6/2,2/7,3/7)` (B) `(3/5,5/7,6/7)` (C) `(1/7,2/7,3/7)` (D) none of these

The direction cosines of a normal to the plane 2x-3y-6z+14=0 are (A) (2/7,(-3)/7,(-6)/7) (B) ((-2)/7,3/7,6/7) (C) ((-2)/7,(-3)/3,(-6)/7) (D) none of these

The projections of a vector on the three coordinate axis are 6, 3, 2 respectively. The direction cosines of the vector are (A) 6,-3,2 (B) 6/5,(-3)/5,2/5 (C) 6/7,(-3)/7,2/7 (D) (-6)/7,(-3)/7,2/7

If the projection of a line segment of the x,y and z-axes in 3-dimensional space are 12,4, and 3 respectively, then the length of the line segmetn is (A) 13 (B) 9 (C) 6 (D) 7

The direction cosines of the ray from (0,0,0) to (2,-3,6) are (A) -2/7,3/7,-6/7 (B) 2/7,37,6/7 (C) -2/7,-3/7,6/7 (D) 2/7,-3/7,6/

Direction cosines of a line are 2/7,5/7,(-2)/7 Find its direction ratios.

The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (c) (16)/7 (d) none of these

The number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together is (A) (9!)/(3!2!) (B) (7!)/(3!2!) (C) (.^7C_3⋅6!)/(2!) (D) none of these

Write the vector equation of the line given by (x-5)/3=(y+4)/7=(z-6)/2

Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z)/2

A point on the line (x-1)/1=(y-2)/2=(z+1)/3 at a distance sqrt(6) from the origin is (A) ((-5)/7, (-10)/7,13/7) (B) (5/7,10/7,(-13)/7) (C) (1,2,-1) (D) (-1,-2,1)