SATHEE: Kinematics Question 253

Kinematics Question 253

Question: If two vectors $2 \hat{i} + 3 \hat{j} - \hat{k}$ and $- 4 \hat{i} - 6 \hat{j} - λ \hat{k}$ are parallel to each other then value of l be

Options:

A) 0

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

Let $\vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k}$ and $\vec{B} = - 4 \hat{i} - 6 \hat{j} + λ \hat{k}$

$\vec{A}$ and $\vec{B}$ are parallel to each other $\frac{a_{1}}{b_{1}} = \frac{a_{2}}{b_{2}} = \frac{a_{3}}{b_{3}}$ i.e. $\frac{2}{- 4} = \frac{3}{- 6} = \frac{- 1}{λ}$
$\Rightarrow λ = 2$ .

Kinematics Question 253

Question: If two vectors $2 \hat{i} + 3 \hat{j} - \hat{k}$ and $- 4 \hat{i} - 6 \hat{j} - λ \hat{k}$ are parallel to each other then value of l be

Options:

Answer:

Solution:

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Kinematics Question 253

Question: If two vectors 2i^+3j^−k^ and −4i^−6j^−λk^ are parallel to each other then value of l be

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: If two vectors $2 \hat{i} + 3 \hat{j} - \hat{k}$ and $- 4 \hat{i} - 6 \hat{j} - λ \hat{k}$ are parallel to each other then value of l be