1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the vectors $$\alpha \widehat i + \alpha \widehat j + \gamma \widehat k$$, $$\widehat j + \widehat k$$ and $$\gamma \widehat i + \gamma \widehat j + \beta \widehat k$$ lie on a plane, where $$\alpha$$, $$\beta$$ and $$\gamma$$ are distinct non-negative numbers, then $$\gamma$$ is
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The vectors a, b, c and d are such that a $$\times$$ b = c $$\times$$ d and a $$\times$$ c = b $$\times$$ d. Which of the following is/are correct?
1. (a $$-$$ d) $$\times$$ (b $$-$$ c) = 0
2. (a $$\times$$ b) $$\times$$ (c $$\times$$ d) = 0
Select the correct answer using the code given below.
1. (a $$-$$ d) $$\times$$ (b $$-$$ c) = 0
2. (a $$\times$$ b) $$\times$$ (c $$\times$$ d) = 0
Select the correct answer using the code given below.
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a = \widehat i + \widehat j$$, $$b = 3\widehat i + 4\widehat k$$ and $$b = c + d$$, where c is parallel to a and d is perpendicular to a.
What is c equal to ?
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a = \widehat i + \widehat j$$, $$b = 3\widehat i + 4\widehat k$$ and $$b = c + d$$, where c is parallel to a and d is perpendicular to a.
If $$d = x\widehat i + y\widehat j + z\widehat k$$, then which of the following equations is/are correct?
I. $$y - x = 4$$
II. $$2z - 3 = 0$$
Select the correct answer using the code given below.
I. $$y - x = 4$$
II. $$2z - 3 = 0$$
Select the correct answer using the code given below.
Questions Asked from Vector Algebra (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies