ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 23 (Conic Section)

MCQ's Test For ECAT (Pre-Eng) Mathematics MCQ's Test For Chapter 23

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ECAT (Pre-Eng) Mathematics MCQ's Test For Chapter 23

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Question # 1

The positive real number which is the measure of the length of a vector is called the

Question # 2

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

Question # 3

The modulus of 12-5i is:

Question # 4

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

Question # 5

If a,b = 0 then

Question # 6

The magnitude of vector a 2i-7j is

Question # 7

The magnitude of vector a=i-3j+5k is:

Question # 8

If u = xi + yj, then|u|

Question # 9

The modulus of a vector i-i+ k is:

Question # 10

If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=

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Sr.# Question Answer
1 The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:
A. π/2
B. -3π/2
C. π
D. None of these
2 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =
A. 4
B. 1/2
C. 3
D. 4/3
3 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:
A. Orthogonal
B. Collinear
C. Perpendicular
D. None of these
4 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:
A. Orthogonal
B. Collinear
C. Perpendicular
D. None of these
5 If G is the centroid of the triangle, then GA +GB+GC=
A. 0
B. 1
C. -1
D. 3
6 If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:
A. Parallel to each other
B. Perpendicular to each other
C. Inclined at 60o
D. neither parallel nor perpendicular
7 If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =
A. -i -15j
B. i-15j
C. i-3j
D. None of these
8 The modulus of a vector i-i+ k is:
A. √3
B. 1
C. √2
D. ∞
9 If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:
A. [1,1,1.5]
B. [2,2,1.5]
C. [1.5,1.5,4]
D. None of these
10 The angle between the vectors u =2i - i + k and v = -i + i is:
A. 3π/2
B. 2π/3
C. 5π/6
D. π/3

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