Two vectors are given by A = ( 3 i ^ + j ^ + 3 k ^ ) and B = ( 3 i ^ + 5 j ^ − 2 k ^ ) . Find the third vector C if A + 3 B − C = 0 .

A + 3 B − C = 0 3 i ^ + j ^ + 3 k ^ + 3 ( 3 i ^ + 5 j ^ − 2 k ^ ) − C = 0 12 i ^ + 16 j ^ − 3 k ^ − C = 0 , C = 12 i ^ + 16 j ^ − 3 k ^

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Physics - Vectors Question with Solution | TestHub

PhysicsVectorsAddition/SubtractionEasy2 minPYQ_2018

PhysicsEasysingle choice

Two vectors are given by $A = (3 \hat{i} + \hat{j} + 3 \hat{k})$ and $B = (3 \hat{i} + 5 \hat{j} - 2 \hat{k})$ . Find the third vector $C$ if $A + 3 B - C = 0$ .

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Answer:

Solution:

$A + 3 B - C = 0 3 \hat{i} + \hat{j} + 3 \hat{k} + 3 (3 \hat{i} + 5 \hat{j} - 2 \hat{k}) - C = 0 12 \hat{i} + 16 \hat{j} - 3 \hat{k} - C = 0, C = 12 \hat{i} + 16 \hat{j} - 3 \hat{k}$

Stream:AIIMSSubject:PhysicsTopic:VectorsSubtopic:Addition/Subtraction

⏱ 2mℹ️ Source: PYQ_2018

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