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ABCD is a parallelogram and \(\vec{AC} \) and \(\vec {BD}\) are the diagonals then  \(\vec{AC}+\vec{BD} =?\) 

ABCD is a parallelogram and \(\vec{AC} \) and \(\vec {BD}\) are the diagonals then  \(\vec{AC}+\vec{BD} =?\)  Correct Answer <span class="math-tex">\(2\vec{BC} \)</span>

option(1)

CONCEPT:

  • Triangle law of vector addition state that if two vectors can be represented both in magnitude and direction by the two sides of a triangle taken in the same order, then their resultant is represented completely, both in magnitude and direction, by the third side of the triangle taken in the opposite order.

Vectors can be added geometrically by the vector law of addition:

Additional Information

As the vectors have both magnitude and direction, so they cannot be added by using ordinary rules of the algebra. Vectors can be added geometrically.

The follow ing three laws of vector addition can be used to add two or more vectors having any inclination to each other.

 

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