1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\widehat a$$ and $$\widehat b$$ of two unit vectors and $$\theta$$ be the angle between them.
What is $$\cos \left( {{\theta \over 2}} \right)$$ equal to ?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\widehat a$$ and $$\widehat b$$ of two unit vectors and $$\theta$$ be the angle between them.
What is $$\sin \left( {{\theta \over 2}} \right)$$ equal to ?
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\alpha = \widehat i + 2\widehat j - \widehat k$$, $$\beta = 2\widehat i - \widehat j + 3\widehat k$$ and $$\gamma = 2\widehat i + \widehat j + 6\widehat k$$ be three vectors. If $$\alpha$$ and $$\beta$$ are both perpendicular to the vector $$\delta$$ and $$\delta \,.\,\gamma = 10$$, then what is the magnitude of $$\delta$$ ?
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\widehat a$$ and $$\widehat b$$ are two unit vectors then the vector ($$\widehat a$$ + $$\widehat b$$) $$\times$$ ($$\widehat a$$ $$\times$$ $$\widehat b$$) is parallel to
Questions Asked from Vector Algebra (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies