Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 3

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IMPORTANT

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If $\vec{a} = 2 \hat{i} + \hat{j} - 8 \hat{k}$ and $\vec{b} = \hat{i} + 3 \hat{j} - 4 \hat{k}$ , then the magnitude of $\vec{a} + \vec{b}$ is equal to

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Important Questions on Vector Algebra

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 4

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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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 5

The unit vector parallel to the resultant vector of $2 \hat{i} + 4 \hat{j} - 5 \hat{k}$ and $\hat{i} + 2 \hat{j} + 3 \hat{k}$ is

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 6

If

\vec{a} = \hat{i} + 2 \hat{j} + 3 \hat{k}

,

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

and

\vec{c} =3 \hat{i} + \hat{j}

, then the unit vector along its resultant is

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 7

If

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

and

\vec{b} = \hat{i} + 4 \hat{j}

, then the vector parallel to

\vec{a} + \vec{b}

is

EASY

JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 8

In a

△

A B C,

\vec{A B} = \vec{a}, \vec{A C} = \vec{c} & \vec{B C} = \vec{b}

, then

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 9

If $O$ is the origin and the position vector of

A

is

4 \hat{i} + 5 \hat{j}

, then a unit vector parallel to $\vec{O A}$ is

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 10

The position vectors of the points

\vec{A}, \vec{B}

and

\vec{C}

are

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

,

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

,

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

, respectively. If

\vec{A}

is chosen as the origin, then the position vectors of

\vec{B}

and

\vec{C}

are

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JEE Advanced

IMPORTANT

Skills in Mathematics for JEE MAIN & ADVANCED VECTORS & 3D GEOMETRY>Chapter 1 - Vector Algebra>Vector Algebra Exercise 1>Q 11

The position vectors of

P

and

Q

are

5 \hat{i} + 4 \hat{j} + a \hat{k}

and

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

respectively. If the distance between them is

7

, then the value of

a

will be