NDA 2019 Paper 1 | Vector Algebra Question 50 | Mathematics

If the position vectors of points A and B are $$3\widehat i - 2\widehat j + \widehat k$$ and $$2\widehat i + 4\widehat j - 3\widehat k$$ respectively, then what is the length of AB ?

$$\sqrt {14} $$

$$\sqrt {29} $$

$$\sqrt {43} $$

$$\sqrt {53} $$

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?

p²

2p²

$${{{p^2}} \over 2}$$

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

$${1 \over {\sqrt {26} }}$$

$${5 \over {\sqrt {26} }}$$

$${5 \over {26}}$$

$${1 \over {26}}$$

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?

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