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

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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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Important Questions on Vector Algebra

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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

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 12

A B C D E F

is a regular hexagon where centre

O

is the origin, if the position vector of

A

is

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

then

\vec{B C}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 13

The vector

\cos α \cdot \cos β \hat{i} + \cos α \cdot \sin β \hat{j} + \sin α \hat{k}

is a/an

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Gamma Question Bank for Engineering Mathematics>Chapter 31 - Vector Algebra>Assignment Set-2>Q 14

If

O A C B

is a parallelogram with

\vec{O C} = \vec{a}

and

\vec{A B} = \vec{b,}

then

\vec{O A}

is equal to