The magnitude of resultant of three unit vectors cannot be

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Zero

$3 \sqrt{2}$

answer is D.

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Detailed Solution

Given that

Three unit vectors.

Let us try the possible resultant of the given three unit vectors.

(i) They can form an equilateral triangle

Question Image

Then we will get resultant = zero will have magnitude.

(ii) They can present in the same direction along the straight line

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Then resultant will have magnitude = 3 units.

(iii) We can frame them along same line

Such that two of them in same direction and third one in opposite

direction.

Question Image

Then resultant will have magnitude = 1.

We can observe that the magnitude of resultant of three unit vector will lie between 0 (minimum) and 3 (maximum)

So it cannot take the value $3 \sqrt{2}$

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