EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2021>Q 8

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IMPORTANT

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A vector $\vec{a}$ makes equal acute angles on the coordinate axis. Then the projection of vector $\vec{b} = 5 \hat{i} + 7 \hat{j} + \hat{k}$ on $\vec{a}$ is

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Important Questions on Vector Algebra

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KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2021>Q 9

If

\vec{a} \cdot \vec{b} = 0

and

\vec{a} + \vec{b}

makes an angle

60 °

with

\vec{a}

then

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2020>Q 10

If

{|\vec{a} \times \vec{b}|}^{2} + {|\vec{a} . \vec{b}|}^{2} = 144

and

|\vec{a}| = 6

, then

|\vec{b}|

is equal to

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2019>Q 11

If

| \vec{a} | = 16, | \vec{b} | = 4

then,

\sqrt{| \vec{a} \times \vec{b} |^{2} + | \vec{a} \cdot \vec{b} |^{2}} =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2019>Q 12

A unit vector perpendicular to the plane containing the vectors

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

and

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

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2018>Q 13

If

| \vec{a} \times \vec{b} |^{2} + | \vec{a} \cdot \vec{b} |^{2} = 144

and

| \vec{a} | = 4

, then the value of

| \vec{b} |

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2021>Q 14

The area of the quadrilateral

A B C D,

where

A (0, 4, 1), B (2, 3, - 1), C (4, 5, 0)

and

D (2, 6, 2)

is equal to

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2021>Q 15

If the area of the parallelogram with

\vec{a}

and

\vec{b}

as two adjacent sides is

15

sq. units then the area of the parallelogram having

3 \vec{a} + 2 \vec{b}

and

\vec{a} + 3 \vec{b}

as two adjacent sides in sq. units is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Vector Algebra>KCET (UG) 2020>Q 16

If the vectors

2 \hat{i} - 3 \hat{j} + 4 \hat{k}, 2 \hat{i} + \hat{j} - \hat{k}

and

λ \hat{i} - \hat{j} + 2 \hat{k}

are coplanar, then the value of

λ

is