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  • INDIAN NAVY SAILORS Numerical Ability 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 Numerical Ability Vectors for INDIAN NAVY SAILORS student. This free online Numerical Ability study material for INDIAN NAVY SAILORS will help students in learning and doing practice on Vectors topic of INDIAN NAVY SAILORS Numerical Ability. The study material on Vectors, help INDIAN NAVY SAILORS Numerical Ability 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 Numerical Ability with free online comprehensive study material and loads of INDIAN NAVY SAILORS Numerical Ability 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 Numerical Ability Vectors.


Vectors
If the position vectors of the points A, B, C be vector a, vector b, [3(vector a) - 2(vector b)] respectively, then the points A, B, C are?

a) Non-collinear
b) Collinear
c) Forming a right angled triangle
d) None of these



Answer
Correct Answer Is : Collinear
Solution Is :
Let vector a, vector b, and vector c be three non-zero vectors, no two of which are collinear. If the [vector a + 2(vector b)] is collinear with vector c and [vector b + 3(vector c)] is collinear with vector a, then [vector a + 2(vector b) + 6(vector c)] is equal to ?

a) λ (vector a)
b) Zero vector
c) λ (vector b)
d) λ (vector c)



Answer
Correct Answer Is : Zero vector
Solution Is :
Vector a and vector b are two non-collinear vectors, then [x(vector a) + y(vector b)] (where x and y are scalars) represents a vector which is?

a) Parallel to vector a
b) Parallel to vector b
c) Coplanar with vector a and vector b
d) None of these



Answer
Correct Answer Is : Coplanar with vector a and vector b
Solution Is :
A, B, C, D, E are five coplanar points, then vector DA + vector DB + vector DC + vector AE + vector BE + vector CE = is equal to?

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



Answer
Correct Answer Is : 3(vector DE)
Solution Is :
Area of the parallelogram whose diagonals are vector a and vector b is?

a) (vector a) . (vector b)
b) 1/2 |vector a * vector b|
c) |vector a * vector b|
d) Vector a + vector b



Answer
Correct Answer Is : 1/2 |vector a * vector b|
Solution Is :
If vector a and vector b are unit vectors such that (vector a * vector b) is also a unit vector, then the angles between vector a and vector b is?

a) π
b) π/2
c) π/3
d) 0



Answer
Correct Answer Is : π/2
Solution Is :
The number of vectors of unit length perpendicular to vectors vector a = (1, 1, 0) and vector b = (0, 1, 1) is?

a) Two
b) One
c) Three
d) Infinite



Answer
Correct Answer Is : Two
Solution Is :
If (vector a * vector b)^2 + [(vector a) . (Vector b)]^2 = 144 and |vector a| = 4, then |vector b| = ?

a) 3
b) 12
c) 8
d) 16



Answer
Correct Answer Is : 3
Solution Is :
[2(vector a) + 3(vector b)] * [5(vector a) + 7(vector b)] = ?

a) 7(vector a) + 10(vector b)
b) Vector a + vector b
c) Vector b * vector a
d) Vector a * vector b



Answer
Correct Answer Is : Vector b * vector a
Solution Is :
Let vector a, vector b, vector c be three vectors such that vector a ≠0, and [(vector a * vector b) = 2(vector a) * vector c], |vector a| = |vector c| = 1, |vector b| = 4 and |vector b * vector c| = √15. If [vector b - 2(vector c)] = λ (vector a), then λ is equal to?

a) -2
b) ±4
c) 1
d) 3



Answer
Correct Answer Is : ±4
Solution Is :
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