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Type 2., the, , Choose, , 91., , correct, , options. One, , the, A line passes through, , i-3 +k. The position, , or more, , points, , vector, , whose, , (d), , (c)i-4+3k, vector, , on, , it at, , unit, , a, , corroes, , are, , i+, , -2 and, , P, , distance, , the, , (b)d97- 13k), , a)6ij7k), 5, , A, , position vectors, , of a point, , first pointis, , 92., , options may be, , of magnitude 2 along, , a, , none, , of these, , bisector ot the, , angle between, , tho., , two, , vectors 27-2+Kand + 27-2 is, , (a), , V10, , (), , -), , b) 26 47+ 3k), , 4+sk), , (d) none of these, , 93. A unit vector coplanar with i+j+ 2k and i+2j +k, and perpendicularto, , T++K, is, , (a), , +k), , (o)(7-F, , d)-, , 94. A unit vector which is equally inclined to the vectors i,?-2i+j+2, ., , 3, , -4-3, , S, , 5, , (a-5-s), )(5+5k), 95. If, , Ial, , =4, 1b1 =2 and, , equal to, (a) 48, , ), , V51, , (d), the angle between, , 5 - 5E'), -57+5k), , a and bis, , (b) 16, , (c) 2, (d) none of these, , then, , (, , and

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nts whose position vectors are a, b,c will be collinear if, o., , Threep o n t, , (a), , Aa, , t, , ub= (A, , +, , (b) axb bxctcxa-0, , u)c, , (d) none of these, 4it3j. Let cbe a vector perpendicular to b and it lies in the x-y, b=, 7let, A vector in the 1-y plane having projections 1 and 2 along b and c, , )7-2, , (a) 2i-, , (d) none of these, 5, , 98, If a, b, c are noncoplanar nonzero vectors and r is any vector in space, , then, , C a+l¢ a r]b+[a b, , r]cisequalto, (d) none of these, , 99. If a, b, c are noncoplanar vectors such that bxc=a, axb=c and, , cxa=bthen, b) Ib1=1, , (a) Ial 1, , (c)71+1b1 +, 100. Let, , F, , Icl, , =3, , a,b,c be noncoplanar, , (d), , of these, , none, , vectors and, , bxc, p=, P, , cXa, , then, Icthen, , 01., , (a) p a= 11, , (b), , p a+q.b+r c=3, , () p atqb+7e=0, , (d), , none, , If a, b,c are any three vectors then (axb)xc, , of these, , is, , a, , vector, , (a) perpendicular to axb, , (b) coplanar with a and b, , () parallel to c, , (d) parallel to either a, , or, , b

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102., , 103., , If c=axband b=cxa, , then, , (a) a b-, , (b) ca=b, , (c) aL, , (d) al bx, , Ifrxb=cxband rLa thenxis equal to, , Cb)bxc)xa, , bx(axc), , (a), , b.a, , (c), (c) x(Cx), , (d) none of these, , ab, , 104. The, , resolved part of the vector, , a, , along, , the vector, , b is, , perpendicular to b is H. Then, (a) - (b, a )a, , A and tha, , b) -(aB)E, , 52, , 2, (d) -bx(axb), 2, , 105., , 106., , (axb).(Cxd)is equal to, (a) aBx(cxdy, , (b) (acMB )-(adxbc), , () (axB)xc)7, , (d) (dxc): (bxa), , Ifa, b, c, dare any four vectors then (a x b)x (cxd) is a, (a) perpendicular to a,, , b, c, d, , (b) along the line of, intersection of, and the other, , two, , planes, one containing a,, , containing c, d, (c)equally inclined to both axb, and cxd, (d) none of, these, , vector, , that