ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 23

Question # 1

The vector i = [1,0] is called unit vector along:

x-axis A
y - axis B
z- axis C
Botha a and y-axis D

Question # 2

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

4 A
1/2 B
3 C
4/3 D

Question # 3

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

1 A
2 B
-1 C
-3 D

Question # 4

If u = xi + yj, then|u|

x² + y² A
(x² +y²)² B
x²-y² C
√(x²+y²) D

Question # 5

Vector additon is:

Commutative A
Associative B
Commutative and Associative C
None of these D

Question # 6

If G is the centroid of the triangle, then GA +GB+GC=

0 A
1 B
-1 C
3 D

Question # 7

The magnitude of vector a 2i-7j is

√23 A
√43 B
3 C
√53 D

Question # 8

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

4 A
6 B
5 C
3 D

Question # 9

a ______quantity is one that possesses both magnitude and direction.

Scalar A
Vector B
Segment C
None of these D

Question # 10

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

3 A
√35 B
√17 C
√35 D

Question # 11

If u =[3,-4],then modulus of uis:

5 A
5i B
-5 C
√5 D

Question # 12

If m and n be two scalars, then (m+n) g =

0 A
m+n
B
m▁a+n▁a C
ma - m▁a
D

Question # 13

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

√7 A
√41 B
√19 C
√(2&7) D

Question # 14

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

-i -15j A
i-15j B
i-3j C
None of these D

Question # 15

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

Parallel to each other A
Perpendicular to each other B
Inclined at 60^o C
neither parallel nor perpendicular D

Question # 16

Vector i =

[1,0] A
[0,1,0] B
[0,0,1] C
None of these D

Question # 17

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

π/2 A
-3π/2 B
π C
None of these D

Question # 18

If a,b = 0 then

a |b A
a||b B
a = b C
None D

Question # 19

The angle between the vectors u =2i - i + k and v = -i + i is:

3π/2 A
2π/3 B
5π/6 C
π/3 D

Question # 20

The modulus of 12-5i is:

7 A
13 B
√7 C
119 D

Question # 21

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Orthogonal A
Collinear B
Perpendicular C
None of these D

Question # 22

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

√2 A
√3 B
1 C
None of these D

Question # 23

I f a =5i + 2j, then|a| =

√13 A
√7 B
1/√13 C
√29 D

Question # 24

If a=5j + 2j,b=2i -3j, then|a+2b|=

√21 A
√97 B
√39 C
None of these D

Question # 25

The vector k = [0,0,1] is called unit vector along:

x -axis A
y - axis B
z- axis C
None of these D

Question # 26

If aand bare two vectors then a+b =

b + a A
b - a B
ab C
a^ b D

Question # 27

O (0,0)is called:

Position vector A
Free vector B
Unite vector C
Null vector D

Question # 28

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

[1,1,1.5] A
[2,2,1.5] B
[1.5,1.5,4] C
None of these D

Question # 29

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

√3 A
1 B
√2 C
∞ D

Question # 30

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

Unit vector A
Modulus B
Inverse C
None of these D

Sr.#	Question	Answer
1	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
2	The modulus of a vector i-i+ k is:	A. √3 B. 1 C. √2 D. ∞
3	The magnitude of vector a=i-3j+5k is:	A. 3 B. √35 C. √17 D. √35
4	Vector additon is:	A. Commutative B. Associative C. Commutative and Associative D. None of these
5	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
6	If u =[3,-4],then modulus of uis:	A. 5 B. 5i C. -5 D. √5
7	The positive real number which is the measure of the length of a vector is called the	A. Unit vector B. Modulus C. Inverse D. None of these
8	If G is the centroid of the triangle, then GA +GB+GC=	A. 0 B. 1 C. -1 D. 3
9	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
10	O (0,0)is called:	A. Position vector B. Free vector C. Unite vector D. Null vector

Latest Educational News Stories

Pakistan's Largest Database of Colleges and Universities

BS Programs

University Past Papers

University Results

Exam Results 2024

Study Abroad Programs and Opportunities for Pakistani Students