RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 8

EASY

12th West Bengal Board

IMPORTANT

Earn 100

Find the position vectors of the points which divide the line segment joining the points with position vector $2 \vec{a} - 3 \vec{b}$ and $3 \vec{a} - 2 \vec{b}$ internally and externally in the ratio $2 : 3$ .

Important Questions on Vectors

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 9

Find the position vector of the point which divides the line segment joining the points with position vectors

2 \hat{i} - 4 \hat{j} + 3 \hat{k}, - 4 \hat{i} + 5 \hat{j} - 6 \hat{k}

in the ratio

1 : - 4

.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 9

Find the position vector of the point which divides the line segment joining the points with position vectors

2 \hat{i} - 4 \hat{j} + 3 \hat{k}, - 4 \hat{i} + 5 \hat{j} - 6 \hat{k}

in the ratio

2 : 1

.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 10

Can the following numbers be direction cosines of any vector? Justify your answer.

$- 1, 2, 3$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 10

Can the following numbers be direction cosines of any vector? Justify your answer.

$\frac{3}{7}, \frac{2}{7}, - \frac{6}{7}$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 10

Can the following numbers be direction cosines of any vector? Justify your answer.

$- \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 10

Can the following numbers be direction cosines of any vector? Justify your answer.

$\frac{1}{\sqrt{3}}, - \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 11

Can any vector make the following angles with the axes? Justify your answer.

$45 °, 45 °, 45 °$

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 23 - Vectors>EXERCISE>Q 11

Can any vector make the following angles with the axes? Justify your answer.

$60 °, 60 °, 60 °$