Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 2

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Let $O$ be the centre of a regular hexagon $A B C D E F .$ Then the magnitude of the sum of the vectors $\vec{O A}, \vec{O B}, \vec{O C}, \vec{O D}, \vec{O E}$ and $\vec{O F}$ is

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Important Questions on Vector Algebra

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 3

For any two vectors

\vec{a}

and

\vec{b},

which one of the following is not true?

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 5

The vectors

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k}

and

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

forms a/an

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 6

If the magnitude of the sum of the two vectors is equal to the difference of their magnitudes, then the angle between vectors is

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 7

What is the angle between

\vec{a}

and the resultant of

\vec{a} + \vec{b}

and

\vec{a} - \vec{b} ?

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 8

What is the magnitude of the scalar product of the following vectors ?

$\vec{a} = \hat{i} + \hat{j}; \vec{b} = \hat{i} + \hat{k}$

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 9

L

and

M

are the mid-points of the sides

B C

and

C D

a parallelogram

A B C D .

Then

\vec{A L} + \vec{A M}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 10

If

\vec{a} = \hat{i} + \hat{j}, \vec{b} = \hat{j} + \hat{k}, \vec{c} = \hat{k} + \hat{i},

a unit vector parallel to

\vec{a} + \vec{b} + \vec{c} .

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 11

p_{1} \hat{i} + p_{2} \hat{j}

is a unit vector perpendicular to

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

if