EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>NDA & NA EE 2019 Paper 1 Mathematics>Q 14

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If in a right angled triangle $A B C,$ hypotenuse $A C = p,$ then what is $AB \cdot AC + BC \cdot BA + CA \cdot CB$ equal to?

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Important Questions on Vector Algebra

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>NDA & NA EE 2019 Paper 1 Mathematics>Q 15

The sine of the angle between vectors

a = 2 \hat{i} - 6 \hat{j} - 3 \hat{k}

and

b = 4 \hat{i} + 3 \hat{j} - \hat{k}

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>NDA & NA EE 2019 Paper 1 Mathematics>Q 16

What is the value of

λ

for which the vectors

3 \hat{i} + 4 \hat{j} - \hat{k}

and

- 2 \hat{i} + λ \hat{j} + 10 \hat{k}

are perpendicular?