From Fig. 2.51, the correct relation is Fig. 2.51 a. A⃗+B⃗+E⃗=0 b. C⃗-D⃗=-A⃗ c. B⃗+E⃗-C⃗=-D⃗ d.

step 1 This question we will learn about some basic concept of the vector triangle law and about vector

From Fig. 2.51, the correct relation is Fig. 2.51 a....

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Key Concepts

Closed Polygon Rule

The closed polygon rule states that if vectors are arranged head-to-tail and they form a closed path, their vector sum is zero. This concept is fundamental in understanding equilibrium conditions and conservation of quantities in vector systems.

Equilibrium Condition

The equilibrium condition in vector analysis implies that when all vectors representing forces or displacements acting on a point sum to zero, the point is in a state of balance. This is a key principle in physics and engineering for analyzing static systems.

Vector Addition

Vector addition is the process of combining two or more vectors to produce a resultant vector. This operation is commutative and follows the geometric tip-to-tail rule, where vectors are placed sequentially such that the tail of one coincides with the head of the previous one, forming a polygonal chain.

Vector Subtraction

Vector subtraction involves finding the difference between two vectors, which can be interpreted as adding the negative of one vector to the other. It is useful in determining relative displacements or forces, and it follows the same geometric principles as vector addition.

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