Question

Triangle law of vector addition in physics

Answer 1

Hi consider the figure.
The sum of vectors a and b when represented as the two sides of a triangle such that tip of vector a meets foot of vector b, will be the third side of the triangle whose direction is in the reverse way.

Answer 2

$\large \bf{\green{Triangle\: Law\: Of\: Vector\: Addition}}$

$\LARGE \text{STATEMENT :-}$

☛ Two vectors are represented both in magnitude and direction by the two sides of a triangle taken in same order, Then their resultant can be completely represented by the third side of a triangle taken in opposite order .

$\LARGE \text{EXPLAINATION :-}$

☞ For explanation Refer the above diagram attached in the file :

✍ Consider two vectors $\vec{a} + \vec{b}$ are represented by the two sides of the triangle and taken in the same order as shown in the figure (1) .

✍ Their resultant can be represented by the third side of the triangle taken in the opposite order as shown in the figure (2).

⚛ Hence, Graphically the resultant,

⚛ $\vec{R} = \vec{A} + \vec{B}$