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Physics - Vectors Question with Solution | TestHub

PhysicsVectorsAddition/SubtractionMedium2 minPYQ_2018

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If $\vec{A} = 3 \hat{i} - 2 \hat{j} + \hat{k}, \vec{B} = \hat{i} - 3 \hat{j} + 5 \hat{k}$ and $\vec{C} = 2 \hat{i} + \hat{j} - 4 \hat{k}$ form a right angled triangle then out of the following which one is satisfied?

Options:

Answer:

Solution:

$| \vec{A} | = \sqrt{9 + 4 + 1} = \sqrt{14}$
$| \vec{B} | = \sqrt{1 + 9 + 25} = \sqrt{35}$
$| \vec{C} | = \sqrt{4 + 1 + 16} = \sqrt{21}$

$B^{2} = A^{2} + C^{2}$ .
$\vec{A} = \vec{B} + \vec{C}$

Stream:MHT_CETSubject:PhysicsTopic:VectorsSubtopic:Addition/Subtraction

⏱ 2mℹ️ Source: PYQ_2018

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