EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2018>Q 1

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IMPORTANT

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The points having position vectors $60 \hat{i} + 3 \hat{j}, 40 \hat{i} - 8 \hat{j}, a \hat{i} - 52 \hat{j}$ , are collinear, if $a =$

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Important Questions on Vector Algebra

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2017>Q 2

If

\vec{a} = 2 \hat{i} + 5 \hat{j}

and

\vec{b} = 2 \hat{i} - \hat{j}

, then the unit vector along

\vec{a} + \vec{b}

will be

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2017>Q 3

{(\vec{r} \cdot \hat{i})}^{2} + {(\vec{r} \cdot \hat{j})}^{2} + {(\vec{r} \cdot \hat{k})}^{2}

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2017>Q 4

The component of

\hat{i} + \hat{j}

along

\hat{j} + \hat{k}

will be

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2019>Q 5

The value of

(\vec{r} . \hat{i})^{2} + (\vec{r} . \hat{j})^{2} + (\vec{r} . \hat{k})^{2}

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2019>Q 6

The component of

\hat{i} + \hat{j}

along

\hat{j} + \hat{k}

be

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2019>Q 7

The vector

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

is perpendicular to

\hat{i} - 4 \hat{j} + λ \hat{k}

, then

λ

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2017>Q 8

For any vectors, $\vec{a}, \vec{b} & \vec{c}$ , $\vec{a} \times (\vec{b} + \vec{c}) + \vec{b} \times (\vec{c} + \vec{a}) + \vec{c} \times (\vec{a} + \vec{b}) =$

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Vector Algebra>CG PET 2019>Q 9

If

\vec{u} = \hat{i} \times (a \times \hat{i}) + \hat{j} \times (a \times \hat{j}) + \hat{k} \times (a \times \hat{k}),

then