1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If the vectors K and A are parallel to each other, then what is kK $$\times$$ A equal to ?
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements.
1. The magnitude of a $$\times$$ b is same as the area of a triangle with sides a and b.
2. if a $$\times$$ b = 0, where a $$\ne$$ 0, b $$\ne$$ 0, then a = $$\lambda$$ b.
Which of the above statements is/are correct?
1. The magnitude of a $$\times$$ b is same as the area of a triangle with sides a and b.
2. if a $$\times$$ b = 0, where a $$\ne$$ 0, b $$\ne$$ 0, then a = $$\lambda$$ b.
Which of the above statements is/are correct?
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a and b are unit vectors and $$\theta$$ is the angle between them, then what is $${\sin ^2}\left( {{\theta \over 2}} \right)$$ equal to ?
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following equations for two vectors a and b.
1. $$(a + b).(a - b) = {\left| a \right|^2} - {\left| b \right|^2}$$
2. $$(\left| {a + b} \right|)(\left| {a - b} \right|) = {\left| a \right|^2} - {\left| b \right|^2}$$
3. $$\left| {a\,.\,b} \right| + \left| {a \times b} \right| = {\left| a \right|^2}{\left| b \right|^2}$$
Which of the above statements are correct?
1. $$(a + b).(a - b) = {\left| a \right|^2} - {\left| b \right|^2}$$
2. $$(\left| {a + b} \right|)(\left| {a - b} \right|) = {\left| a \right|^2} - {\left| b \right|^2}$$
3. $$\left| {a\,.\,b} \right| + \left| {a \times b} \right| = {\left| a \right|^2}{\left| b \right|^2}$$
Which of the above statements are correct?
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