ECAT Mathematics Chapter 24 Vectors Online Test With Answers

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ECAT Mathematics Chapter 24 Vectors Online Test

Sr. # Questions Answers Choice
1 Which of the following is a vector. distance temperature energy acceleration
2 Which of the following is a vector. energy force work power
3 Which of the following is a scalar. force frequency weight acceleration
4 Which of the following is a vector. work time density electric field
5 Which of the following is a vector length momentum volume speed
6 Which of the following is a scalar. electric field magnetic field weight mass
7 Which of the following us a scalar displacement velocity acceleration density
8 Which of the following is a scalar weight force speed momentum
9 The physical quantity which possesses both magnitude and direction is called a scalar vector constant none of these
10 The physical quantity which can be specified by a number alongwith unit is called a scalar vector constant none of these
11 If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____ [a.b.c] 2[a,b,c] [abc]-2 2[abc]2
12 If a +b +c =0 then which of the following is true a =b =c =0 a,b =b,c =c,a a xb=b xc =c xa None
13 If |a x b|2 + (a,b)2 = _____ |a|2 + |b|2 |a|2- |b|2 |a|2|b|2 None
14 Three points whose position vector a,b,c are collinear axb +b x c+ c x a = 0 a,b +b,c +c,a =0 a,|a xc| =0 a+b+c =0
15 If a2 = b2 then a = b a+b= 1 |a+b| =0 None
16 The zero vector is regarded to be parallel to Every vector Is some cases Both a,b None
17 Projection of vector u along v is |v| cosθ |u| cosθ |v| sinθ |u| sinθ
18 The null vector is regarded to be perpendicular to Every vector In some cases Both a b None
19 For two vector a and b, a+b = _______ a b b+a b-a None
20 If |αi + (α+1)j +2k| =3 then value of α is 1,2 -1,-2 1,-2 -1,2
21 [i,j,k] 0 2 1 -2
22 If a,b c are sides of a triangle taken in order then a x b = b x c b x a cxa Both a & b
23 The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C 1,2 -1,-2 2,-1 -2,1
24 If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length |u+v| |u|+|v| |u-v| |u|-|v|
25 If a,b,c are unit vectors then |a + b|2 +|a - b|2 4 8ab 9cos 4(a,b)
26 If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is 5 Equal to the moment of the force about origin 0 Cannot be found
27 u,v,wand u x (v.w) are Equal Parallel Additive immense of each other Meaningless
28 If uv= Projuv then Uandvare parallel vis a unit vector Uis a unit vector Both b and c
29 If Projvu = Projuv, then Uand vare parallel |u|=|v| Uandvre perpendicular One ofuorv
30 The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is 36 square units 3 square units 6 square units 18 square units
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