14. A = (3,-1,11),B = (4,8,11),C =(0,2,3). If 'P' is the foot of the perpendicular from...

 

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14. A = (3,-1,11),B = (4,8,11),C =(0,2,3). If 'P' is the foot of the perpendicular from A on the join of 'B' and 'C' and Q =(1,4,3) then PQ = 1) V2 2) 2/2 3) 3/2 4) 4/2 15. If a,B.y are the angles made by a line with +ve directions of x, y and z axes then the value of cos a + cos(B+y)cos(B-y) is 1) 1 2) – 1 3) 2 4) 0 16. A(4,3,5), B(0,6,0),C(-8,1,4)are three consecutive vertices of a parallelogram ABCD. If '0' is the angle between AC and BD, and the value of 3025 sec 0 is a five digit number then the sum of the digits of "3025 sec2 0" is 1) 31 2) 32 3) 33 4) 34 A = (3,5,-3), B = (2,3,–1), C=(1,2,3).D=(3,5,7) then 17. 1) Angle between AB and CD is cos 2) Angle between AB and CD is n 3) Projection of AB on CD is 5 units 4) Projection of AB on CD is zero 18. A(2,3,5), B(-1,3,2),C(2,5,u) are the vertices of a triangle. If the median through 'A' is equally inclined to co-ordinate axes then the value of 31 - 2µ is 1) 1 2) 2 3) 3 4) O 19. The angle between the lines, whose direction ratios are 1, 1, 2 and 3– 1, - J5 – 1, 4, is 1) 45° 2) 30° 3) 60° 4) 90° 14. A = (3,-1,11),B = (4,8,11),C =(0,2,3). If 'P' is the foot of the perpendicular from A on the join of 'B' and 'C' and Q =(1,4,3) then PQ = 1) V2 2) 2/2 3) 3/2 4) 4/2 15. If a,B.y are the angles made by a line with +ve directions of x, y and z axes then the value of cos a + cos(B+y)cos(B-y) is 1) 1 2) – 1 3) 2 4) 0 16. A(4,3,5), B(0,6,0),C(-8,1,4)are three consecutive vertices of a parallelogram ABCD. If '0' is the angle between AC and BD, and the value of 3025 sec 0 is a five digit number then the sum of the digits of "3025 sec2 0" is 1) 31 2) 32 3) 33 4) 34 A = (3,5,-3), B = (2,3,–1), C=(1,2,3).D=(3,5,7) then 17. 1) Angle between AB and CD is cos 2) Angle between AB and CD is n 3) Projection of AB on CD is 5 units 4) Projection of AB on CD is zero 18. A(2,3,5), B(-1,3,2),C(2,5,u) are the vertices of a triangle. If the median through 'A' is equally inclined to co-ordinate axes then the value of 31 - 2µ is 1) 1 2) 2 3) 3 4) O 19. The angle between the lines, whose direction ratios are 1, 1, 2 and 3– 1, - J5 – 1, 4, is 1) 45° 2) 30° 3) 60° 4) 90°