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If a line lies in the octant OXYZ and it makes equal, angles with the axes, then, , (a) |=m=n=—- (b) [=m=n=£—1 l, , =m=n=-— =m=n=t—, , (c) d=m=n B (dq) l=m=n=t ;, , 1 1, If & 3° "| are the direction cosines of a line,, , then the value of n is, , V23 23, (a) — (b) - (c), , Find the magnitude of the vector 31+2j+12k,, , (a) vVi57 (b) 4vi1 (c) V213\ (d) 9v3, , ae, 3 nes

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Direction (4-6) : Study the given parallelogram and, answer the following questions., , 4., , c, , D Cc, Lap, A “ B, , a, , Which of the following represents equal vectors?, (a) (b) b,d, (c) b,é (d) md, , Which of the following represents collinear but not, equal vectors?, , os eT, 1, , (a) a,é (b) bd, , (c) bm (d) Both (a) and (b), Which of the following represents coinitial vector?, (a) éd (b) m,b, , (c) bd (d) Both (a) and (b)

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10., , 11., , 12., , The vectors 3i+ 5j > 2k, 2i- 3; —5k and Si+ 2j 3, form the sides of, , (a) Isosceles triangle (b) Right triangle, (c) Scalene triangle (d) Equilateral triangle, , Ifa=i+ j+k,b=41+3)+4k and Z=i+0}+Bk are, linearly dependent vectors and |é|= V3, then, , (a) a=1,B=-1 (b) a=1,B=+1, , (c) a=-1,p =+1 (d) a=+1,B=1, , The vectors @=xi-2j+5k and b =i+yj—zk are, collinear, if, , (a) x=ly=-2,7=-5, , (b) x= 1/2, y= -4,z=-10

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13., , 14., , 15., , 16., , oy,, , (c) x=-1/2,y=4,z= 10, , (d) All of these, , Let 4, b and ¢ be three non-zero vectors such that, no two of these are collinear. If the vectors 4+2h, , is collinear with € and b+3¢ is collinear with 4,, , then @+2b+6¢ equals to, @) @ bb |}et WM, , The vector i+x j+3k is rotated through an angle, § and doubled in magnitude, then it becomes, , 4i+(4x- 2)j +2k. The value of x is, , (a) {-2 | (b) {t 1, , (0) (2 | (4) (2,7), , Three points (2, -1, 3), (3, -5, 1) and (-1, 11, 9), are, , (a) Non-collinear (b) Non-coplanar, , (c) Collinear (d) None of these, , The points with position vectors 60i +3), 40i-8), , and ai-52j are collinear if, (a) a= ~-40 (b) a= 40, (c) a=20 (d) None of these, , If three points A, B and C have position vectors, (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and,, if they are collinear, then (x, y) is equal to, , (a) (2, -3) (b) (-2, 3) () (2,3) (d) (2 -3)