Verify `(-2/7)-3/7=-3/7-(-2/7)`

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/

2/7xx7/7-"4/3

Verify that: (2)/(3)xx(-(4)/(5)+(-(3)/(7)))=(2)/(3)xx(-(4)/(5))+(2)/(3)xx(-(3)/(7))

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

Which of the following in an orthogonal matrix [6//7 2//7-3//7 2//7 3//7 6//7 3//7-6//7 2//7] b. [6//7 2//7 3//7 2//7-3//7 6//7 3//7 6//7-2//7] c. [-6//7-2//7-3//7 2//7 3//7 6//7-3//7 6//7 2//7] d. [6//7-2//7 3//7 2//7 3//7-3//7-6//7 2//7 3//7]

Verify the following: (i) (-12)/(5)+(2)/(7)=(2)/(7)+(-12)/(5) (ii) (-5)/(8)+(-9)/(13)= (-9)/(13)+(-5)/(8) (iii) 3+(-7)/(12)=(-7)/(12)+3 (iv) (2)/(-7)+(12)/(-35)=(12)/(-35)+(2)/(-7)

Using appropriate properties, find (2)/(3)xx (-5)/(7) +(7)/(3) +(2)/(3) xx (-2)/(7) .

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),(6)/(7),(2)/(7) (D) (-6)/(7),(-3)/(7),(2)/(7)

Simplify: 3/7+2/7

Verify that ((3p )/( 7) + (7)/(6p )) ^(2) - ((3p)/(7) -(7)/( 6p ))^2=2