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Statement I : If $\vec{i} and \hat{j}$ are unit vectors along x-axis and y-axis respectively, the magnitude of vector $\hat{i} + \hat{j}$ will be $\sqrt{2}$ .
Statement II : Unit vector are used to indicate a direction only.

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If both statement I and statement II are true and statement II is the correct explanation of statement I.

If both statement I and statement II are true but statement II is not the correct explanation of statement I.

If statement I is true but statement II is false.

If both statement I and statement II are false.

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detailed solution

Correct option is B

Since i^ and j^ are unit vectors, their magnitude are |i^| = 1 and |j^| = 1.Magnitude of resultant vector is equal to |i|2+|j|2 = (1)2+(1)2= 2

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Statement I : If i→ and j^ are unit vectors along x-axis and y-axis respectively, the magnitude of vector i^+j^ will be 2.Statement II : Unit vector are used to indicate a direction only.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Statement I : If $\vec{i} and \hat{j}$ are unit vectors along x-axis and y-axis respectively, the magnitude of vector $\hat{i} + \hat{j}$ will be $\sqrt{2}$ .
Statement II : Unit vector are used to indicate a direction only.