A and B are two vectors given by A = 2 i ^ + 3 j ^ and B = i ^ + j ^ . The magnitude of the component of A along B is

Magnitude of components of A along B = ∣ B ∣ A ⋅ B = 2 ( 2 i ^ + 3 j ^ ) ( i ^ + j ^ ) = 2 5

Physics - Vectors Question with Solution | TestHub

PhysicsVectorsAddition/SubtractionMedium2 minPYQ_2009

PhysicsMediumsingle choice

$A$ and $B$ are two vectors given by $A = 2 \hat{i} + 3 \hat{j}$ and $B = \hat{i} + \hat{j}$ . The magnitude of the component of $A$ along $B$ is

Answer:

Solution:

Magnitude of components of $A$ along $B = \frac{A \cdot B}{∣ B ∣} = \frac{( 2 i ^ + 3 j ^ ) ( i ^ + j ^ )}{2} = \frac{5}{2}$

Stream:WBJEESubject:PhysicsTopic:VectorsSubtopic:Addition/Subtraction

⏱ 2mℹ️ Source: PYQ_2009

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