EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET - 20 Aug 2021 Afternoon>Q 4

MEDIUM

AP EAPCET

IMPORTANT

Earn 100

Let $\vec{u} = 2 \hat{i} + \hat{j}$ and $\vec{v} = 3 \hat{i} - 5 \hat{j}$ . Consider three points $P, Q$ and $R$ having the position vectors $(\frac{5}{2}) \hat{i} - 2 \hat{j}, (\frac{7}{3}) \hat{i} - \hat{j}$ and $(\frac{9}{4}) \hat{i}$ respectively. Among these, the points in the line passing through $\vec{u}$ and $\vec{v}$ are

20% studentsanswered this correctly

Important Questions on Vector Algebra

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET - 20 Aug 2021 Afternoon>Q 5

The point of intersection of the lines joining points

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

and

- \hat{i}, 2 \hat{i}

is

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2020 (Sep-23 Shift-1)>Q 6

Let

u

and

v

be two vectors. Then,

|u - v| = | |u| - |v| |

if and only if

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2021 (19-Aug Forenoon)>Q 7

If

D, E

and

F

are respectively mid-points of

A B, A C

and

B C

in

∆ A B C

, then

\vec{B E} + \vec{A F}

is equal to

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2021 (19-Aug Afternoon)>Q 8

If

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

are position vectors of

A, B, C

respectively and if

D, E

are mid points of sides

B C

and

A C

, then

\vec{D E}

is equal to

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2020 (Sep-23 Shift-1)>Q 9

The area of the parallelogram, whose diagonals are

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

and

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

is equal to

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2020 (Sep-23 Shift-1)>Q 10

The scalar product of the vector

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

with a unit vector along the sum of the vectors

\vec{b} = 2 \hat{i} + 4 \hat{j} - 5 \hat{k}

and

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

is equal to one. Then.

λ =

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2019 (21-Apr Shift-2)>Q 11

Let

D

and

E

be the midpoints of the sides

A C

and

B C

of a triangle

A B C

respectively. If

O

is an interior point of the triangle

A B C

such that

\vec{O A} + 2 \vec{O B} + 3 \vec{O C} = \vec{0},

then the area (in sq. units) of the triangle

O D E

is

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Vector Algebra>AP EAPCET 2019 (21-Apr Shift-2)>Q 12

If

\vec{a}, \vec{b}, \vec{c}

are non-zero non-collinear vectors and

\vec{a} \times \vec{b} = \vec{b} \times \vec{c} = \vec{c} \times \vec{a}

then

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