Question

Two unequal vectors are inclined at an angle 30degree when they are added the resultant can be

Answer 1

your question is incomplete. A complete question is ----> When they are added, the resultant can be:

A. Zero

B. Directed along either

C. Directed opposite to either

D. Represented by none of these

Let A and B two unequal vectors are inclined at an angle 30°.

resultant of two vectors A and B = |A + B| = √{A² + B² + 2ABcos∅}

where ∅ is angle between two vectors

now,

resultant of A and B = |A + B| = √{A² + B² + 2ABcos30°}

= √{A² + B² + 2AB × √3/2}

= √{A² + B² + √3AB} ≠ 0

hence, option (1) can't possible.

according to parallelogram law of vectors : the sum of two vectors is diagonal of the parallelogram formed by the vectors. hence, resultant can be directed along either as shown in figure.

so, option (b) is correct choice .

Answer 2

Answer:

Answer for this is option D.