1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If in a right angled triangle ABC, hypotenuse AC = p, then what is AB . AC + BC . BA + CA . CB equal to?
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The sine of the angle between vectors $$a = 2\widehat i - 6\widehat j - 3\widehat k$$ and $$b = 4\widehat i + 3\widehat j - \widehat k$$ is
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $$\lambda$$ for which the vectors $$3\widehat i + 4\widehat j - \widehat k$$ and $$ - 2\widehat i + \lambda \widehat j + 10\widehat k$$ are perpendicular?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If the direction cosines <l, m, n> of a line are connected by relation $l + 2m + n = 0, 2l - 2m + 3n = 0$, then what is the value of $l^{2} + m^{2} - n^{2}$?
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