Find the magnitude of resultant of vectors a = i ^ + 2 j ^ and b = 2 i ^ + 2 j ^ .

r = a + b = ( i ^ + 2 j ^ ) + ( 2 i ^ + 2 j ^ ) = 3 i ^ + 4 j ^ ∣ r ∣ = 3 2 + 4 2 = 9 + 16 = 25 = 5

Physics - Vectors Question with Solution | TestHub

PhysicsVectorsAddition/SubtractionEasy2 minQB

PhysicsEasyinteger

Find the magnitude of resultant of vectors $a = \hat{i} + 2 \hat{j}$ and $b = 2 \hat{i} + 2 \hat{j}$ .

Answer:

Solution:

$r = a + b = (\hat{i} + 2 \hat{j}) + (2 \hat{i} + 2 \hat{j}) = 3 \hat{i} + 4 \hat{j}$

$∣ r ∣ = 3^{2} + 4^{2} = 9 + 16 = 25 = 5$

Stream:JEESubject:PhysicsTopic:VectorsSubtopic:Addition/Subtraction

⏱ 2mℹ️ Source: QB

Loading discussions...