If an area element lying on a x – y plane is denote by an arrow of length 5 units vectorially, then another area element lying on a x – z plane will be represented by an arrow of length 15 units if its magnitude is thrice as compared to the first.

True

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False

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Solution

The correct option is A
True

Let the area lying on the x – y plane be $Δ s$ then in accordance to the convention mentioned in the given situation,

Now if we have assigned, $\to | Δ S |$ =length of arrow

= 5 units

Then the area lying on the X – Z plane will be represented by an arrow of length $= 5 \times 3 = 15$ units if its magnitude is thrice comparatively.

FYI Now is the time to quickly recall what can be the possible directions of any planar area vector.

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