Choose the correct alternative:If the points whose position vectors ijij10i^+3j^,12i^-5j^ and aijai^+11j^ are collinear then a is equal to - Mathematics

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Choose the correct alternative:
If the points whose position vectors $10 \hat{i} + 3 \hat{j}, 12 \hat{i} - 5 \hat{j}$ and $a \hat{i} + 11 \hat{j}$ are collinear then a is equal to

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Representation of a Vector and Types of Vectors

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Q 23 Q 22 Q 24

अध्याय 8: Vector Algebra - Exercise 8.5 [पृष्ठ ८२]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board

अध्याय 8 Vector Algebra
Exercise 8.5 | Q 23 | पृष्ठ ८२

संबंधित प्रश्न

Find the value of λ for which the vectors $\vec{a} = 3 \hat{i} + 2 \hat{j} + 9 \hat{k}$ and $\hat{b} = \hat{i} + λ \hat{j} + 3 \hat{k}$ are parallel

Show that the following vectors are coplanar

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

Show that the following vectors are coplanar

$2 \hat{i} + 3 \hat{j} + \hat{k}, \hat{i} - \hat{j}, 7 \hat{i} + 3 \hat{j} + 2 \hat{k}$

Show that the points whose position vectors $4 \hat{i} + 5 \hat{j} - \hat{k}, - \hat{j} - \hat{k}, 3 \hat{i} + 9 \hat{j} + 4 \hat{k}$ and $- 4 \hat{i} + 4 \hat{j} + 4 \hat{k}$ are coplanar

Find the unit vector parallel to $3 \vec{a} - 2 \vec{b} + 4 \vec{C}$ if $\vec{a} = 3 \hat{i} - \hat{j} - 4 \hat{k}, \vec{b} = - 2 \hat{i} + 4 \hat{j} - 3 \hat{k}$ , and $\vec{c} = \hat{i} + 2 \hat{j} - \hat{k}$

The position vectors $\vec{a}, \vec{b}, \vec{c}$ of three points satisfy the relation $2 \vec{a} - 7 \vec{b} + 5 \vec{c} = \vec{0}$ . Are these points collinear?

The position vectors of the points P, Q, R, S are $\hat{i} + \hat{j} + \hat{k}, 2 \hat{i} + 5 \hat{j}, 3 \hat{i} + 2 \hat{j} - 3 \hat{k}$ , and $\hat{i} - 6 \hat{j} - \hat{k}$ respectively. Prove that the line PQ and RS are parallel

Find the value or values of m for which $m (\hat{i} + \hat{j} + \hat{k})$ is a unit vector

Choose the correct alternative:
If $\vec{a} + 2 \vec{b}$ and $3 \vec{a} + m \vec{b}$ are parallel, then the value of m is

Choose the correct alternative:
If ABCD is a parallelogram, then $\vec{AB} + \vec{AD} + \vec{CB} + \vec{CD}$ is equal to

Choose the correct alternative:
One of the diagonals of parallelogram ABCD with $\vec{a}$ and $\vec{b}$ as adjacent sides is $\vec{a} + \vec{b}$ . The other diagonal $\vec{BD}$ is

Choose the correct alternative:
If $\vec{a}, \vec{b}, \vec{c}$ are the position vectors of three collinear points, then which of the following is true?

Choose the correct alternative:If the points whose position vectors ijij10i^+3j^,12i^-5j^ and aijai^+11j^ are collinear then a is equal to - Mathematics

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Choose the correct alternative:If the points whose position vectors ijij10i^+3j^,12i^-5j^ and aijai^+11j^ are collinear then a is equal to - Mathematics

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