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  • NDA Exam Mathematics Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Mathematics Vectors for NDA Exam student. This free online Mathematics study material for NDA Exam will help students in learning and doing practice on Vectors topic of NDA Exam Mathematics. The study material on Vectors, help NDA Exam Mathematics students to learn every aspect of Vectors and prepare themselves for exams by doing online test exercise for Vectors, as their study progresses in class. Kidsfront provide unique pattern of learning Mathematics with free online comprehensive study material and loads of NDA Exam Mathematics Vectors exercise prepared by the highly professionals team. Students can understand Vectors concept easily and consolidate their learning by doing practice test on Vectors regularly till they excel in Mathematics Vectors.


Vectors
If ABCD is parallelogram with AC and BD as diagonals, then (vector AC - vector BD) = ?

a) 4(vector AB)
b) Vector AB
c) 2(vector AB)
d) 3(vector AB)



Answer
Correct Answer Is : 2(vector AB)
Solution Is :
If vector c = 2(vector a) - 3(vector b) and 2(vector c) = 3(vector a) + 4(vector b), then vector c and vector a are?

a) At right angles
b) Like parallel vectors
c) Unlike parallel vectors
d) None of these



Answer
Correct Answer Is : Like parallel vectors
Solution Is :
Vectors (p, q) and (5, 1) are parallel, if

a) Pq = 5
b) Q = 5 p
c) P + q = 5
d) P = 5 q



Answer
Correct Answer Is : P = 5 q
Solution Is :
In a triangle ABC, if 2(vector AC) = 3(vector CB), then 2(vector OA) + 3(vector OB) equals?

a) 5(vector OC)
b) Vector OC
c) [-(vector OC)]
d) None of these



Answer
Correct Answer Is : 5(vector OC)
Solution Is :
ABCDEF is a regular hexagon and vector AB = vector a, vector BC = vector b and vector CD = vector c, then vector AE is?

a) Vector c + vector a
b) Vector a + vector b + vector c
c) Vector b + vector c
d) Vector a + vector b



Answer
Correct Answer Is : Vector b + vector c
Solution Is :
If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = ?

a) (-2, 3)
b) (2, -3)
c) (2, 3)
d) (-2, -3)



Answer
Correct Answer Is : (2, -3)
Solution Is :
In a triangle ABC, vector AB = vector a, vector AC = vector c, vector BC = vector b, then ?

a) Vector a + vector b + vector c = 0
b) Vector a + vector b - vector c = 0
c) Vector a - vector b + vector c = 0
d) (-vector a + vector b + vector c) = 0



Answer
Correct Answer Is : Vector a + vector b - vector c = 0
Solution Is :
If vector a and vector b are two non-zero and non-collinear vectors, then vector a + vector b and vector a - vector b are?

a) Linearly dependent vectors
b) Linearly dependent and independent vectors
c) Linearly independent vectors
d) None of these



Answer
Correct Answer Is : Linearly independent vectors
Solution Is :
If a = (1, -1) and b = (-2, m) are two collinear vectors, then m =?

a) 3
b) 4
c) 0
d) 2



Answer
Correct Answer Is : 2
Solution Is :
If C is the midpoint of AB and P is any point outside AB, then ?

a) Vector PA + vector PB = 2(vector PC)
b) Vector PA + vector PB = vector PC
c) Vector PA + vector PB + vector PC = zero vector
d) Vector PA + vector PB + 2(vector PC) = zero vector



Answer
Correct Answer Is : Vector PA + vector PB = 2(vector PC)
Solution Is :