Question

refer to the figure below to answer the following questions. in the figure, d₂ = -2d₄, d₁ = 2d₄, d₁ = d₄, d₃ = 1/2d₁. question 9 if vectors are moved according to the rules of the triangle method of vector addition, then the resultant vector is drawn from the tip of the first vector to the tip of the last vector, from the tail of the first vector to the tip of the last vector, from the tip of the first vector to the tail of the last vector, from the tail of the first vector to the tail of the last vector.

Explanation:

Step1: Analyze vector directions and magnitudes in first - part

In the figure, vectors \(d_2\) and \(d_4\) are in opposite directions. If we assume the magnitude of \(d_4\) is \(x\), and the magnitude of \(d_2\) is \(2x\) (by observing their relative lengths), then \(d_2=- 2d_4\) since they are in opposite directions.

Step2: Analyze triangle - method of vector addition in second - part

According to the triangle method of vector addition, when vectors are moved such that the tail of one vector is placed at the tip of the previous vector, the resultant vector is drawn from the tail of the first vector to the tip of the last vector.

Answer:

First question: \(d_2 = - 2d_4\)
Second question: from the tail of the first vector to the tip of the last vector