ECAT Mathematics Chapter 24 online mcq test with answers for chapter 24 (Vectors)

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Sr.#	Question	Answer
1
2	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	A. \|u+v\| B. \|u\|+\|v\| C. \|u-v\| D. \|u\|-\|v\|
3	If uv= Projuv then	A. Uandvare parallel B. vis a unit vector C. Uis a unit vector D. Both b and c
4		D. none of these
5	If C is the mid point of AB and P is any point outside AB, then
6	Which of the following is a vector.	A. work B. time C. density D. electric field
7	If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is	A. 12 B. 6 C. 3 D. 0
8
9		C. 1 D. 0
10	If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is	B. 15 C. 30
11		C. 0 D. 1
12		A. [0, 0, 0] B. [1, 0, 0] C. [0, 1, 0] D. [0, 0, 1]
13		A. 12 B. 6 C. 8 D. none of these
14	Which of the following is a vector.	A. distance B. temperature C. energy D. acceleration
15
16	The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is	A. (0,0) B. (1,1) C. (2,2) D. (3,3)
17	Which of the vectors have opposite direction?
18	Three points whose position vector a,b,c are collinear	A. axb +b x c+ c x a = 0 B. a,b +b,c +c,a =0 C. a,\|a xc\| =0 D. a+b+c =0
19	Which of the following does not represent absolute value of a vector	A. magnitude B. length C. norm D. number
20
21	A vector of magnitude zero is called	A. Position vector B. Null vector C. Free vector D. None of these
22	Which of the following is a scalar.	A. force B. frequency C. weight D. acceleration
23		D. none of these
24
25		A. [0, 0, 0] B. [1, 0, 0] C. [0, 1, 0] D. [0, 0, 1]
26	Which of the following is a vector.	A. energy B. force C. work D. power
27	If \|a x b\|2 + (a,b)2 = _____	A. \|a\|2 + \|b\|2 B. \|a\|2- \|b\|2 C. \|a\|2\|b\|2 D. None
28	The physical quantity which possesses both magnitude and direction is called a	A. scalar B. vector C. constant D. none of these
29	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	A. 5 B. Equal to the moment of the force about origin C. 0 D. Cannot be found
30	If a2 = b2 then	A. a = b B. a+b= 1 C. \|a+b\| =0 D. None