EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Vector Algebra>COMEDK UGET 2015>Q 1

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Given two vectors $\hat{i} - \hat{j}$ and $\hat{i} - 2 \hat{j}$ . The unit vector, coplanar with the two given vectors and perpendicular to $(i - j)$ is

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Important Questions on Vector Algebra

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Vector Algebra>COMEDK UGET 2015>Q 1

If

a, b, c

are three-zero vectors such that each one of them are perpendicular to the sum of the other two vectors, then the value of

| a + b + c |^{2}

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Vector Algebra>COMEDK UGET 2014>Q 1

The sin of the angle between the vectors

3 \hat{i} + \hat{j} + 2 \hat{k}

and

\hat{i} + \hat{j} + 2 \hat{k}

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Vector Algebra>COMEDK UGET 2014>Q 1

If

\vec{a}

and

\vec{b}

are two vectors of magnitude

2

and inclined at an angle

60 °

, then angle between

\vec{a}

and

\vec{a} + \vec{b}

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Vector Algebra>COMEDK UGET 2015>Q 1

The direction ratios of the line which is perpendicular to lines

\frac{x - 1}{2} = \frac{y + 17}{- 3} = \frac{z - 6}{1}

and

\frac{x + 5}{1} = \frac{y + 3}{2} = \frac{z - 4}{- 2}

are