Question

Write the correct ans. And explain.....

Answer 1

Answer:

Option (3)

Explanation:

We have two unit vectors namely A and B. Hence,

$| \vec{A} | = 1\\| \vec{B} | = 1$

By Triangular Law of Vector Addition, the addition of vectors A and B will form the 3rd side of the triangle ABR. See the image attached with the image.

The magnitudes of the vectors represent their lengths. Now, the magnitude of vector R will depend on angle theta.

If theta increases, the length of vector R increases. The length of R will be maximum when the angle theta is 180 degrees.

$L_{max} = | \vec{A} |  + | \vec{B} | = 1 + 1 = 2 \ for \ \theta=\pi \ rad$

The length will be minimum when the angle theta is 0 degrees.

$L_{min} = 0 \ for \ \theta=0 \ rad$

Hence, the correct answer is (3).

$0 \leq R \leq 2$