SATHEE: Kinematics Question 426

Kinematics Question 426

Question: The three vectors $\vec{A} = 3 \hat{i} - 2 \hat{j} - \hat{k},$ $\vec{B} = \hat{i} - 3 \hat{j} + 5 \hat{k}$ and $\vec{C} = 2 \hat{i} - \hat{j} - 4 \hat{k}$ does not form

Options:

A) an equilateral triangle

B) isosceles triangle

C) a right angled triangle

D) no triangle

Show Answer

Answer:

Correct Answer: A

Solution:

[a]

$\vec{A} = 3 \hat{i} - 2 \hat{j} + \hat{k}, \vec{B} = \hat{i} - 3 \hat{j} + 5 \hat{k}, \vec{C} = 2 \hat{i} - \hat{j} + 4 \hat{k}$

$| \vec{A} | = \sqrt{3^{2} + {(- 2)}^{2} + 1^{2}} = \sqrt{9 + 4 + 1} = \sqrt{14}$

$| \vec{B} | = \sqrt{1^{2} + {(- 3)}^{2} + 5^{2}} = \sqrt{1 + 9 + 25} = \sqrt{35}$

$| \vec{C} | = \sqrt{2^{2} + 1^{2} + {(- 4)}^{2}} = \sqrt{4 + 1 + 16} = \sqrt{21}$ As $B = \sqrt{A^{2} + C^{2}}$

therefore ABC will be right angled triangle.

Kinematics Question 426

Question: The three vectors $\vec{A} = 3 \hat{i} - 2 \hat{j} - \hat{k},$ $\vec{B} = \hat{i} - 3 \hat{j} + 5 \hat{k}$ and $\vec{C} = 2 \hat{i} - \hat{j} - 4 \hat{k}$ does not form

Options:

Answer:

Solution:

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Kinematics Question 426

Question: The three vectors A→=3i^−2j^−k^, B→=i^−3j^+5k^ and C→=2i^−j^−4k^ does not form

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: The three vectors $\vec{A} = 3 \hat{i} - 2 \hat{j} - \hat{k},$ $\vec{B} = \hat{i} - 3 \hat{j} + 5 \hat{k}$ and $\vec{C} = 2 \hat{i} - \hat{j} - 4 \hat{k}$ does not form