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PhysicsVectorsAddition/SubtractionMedium2 minQB

PhysicsMediuminteger

The sum of two unit vectors is a unit vector. If the magnitude of their difference is x, then find value of $x^{2}$ .

Answer:

Solution:

For unit vectors with a unit sum: $1 = 1 + 1 + 2 cos θ \Rightarrow θ = 12 0^{\circ}$ .

$x^{2} = ∣ \overset{n}{^}_{1} - \overset{n}{^}_{2} ∣^{2}$

$= 1 + 1 - 2 cos 12 0^{\circ} = 3$

Answer: 3

Subject:PhysicsTopic:VectorsSubtopic:Addition/Subtraction

⏱ 2mℹ️ Source: QB

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