To identify the correct notation for a point and a vector, determine the positio

Question

To identify the correct notation for a point and a vector, determine the position vector of a point relative to another point, and calculate the corresponding unit vector. Although vectors are often constructed from points, points are not vectors. Vectors are commonly constructed from either: (1) the origin to a point or (2) a starting point to an ending point. As shown on the coordinate system, points A and B have the following distances from the origin: x_A = 2.70 ft, z_A = 2.20 ft, x_B = 2.70 ft, y_B = 2.70 ft, and z_B = 1.90 ft. (Figure 1) Which of the following statements correctly describes the location and position vector of point A from the origin? Use appropriate notation for the location and position vector of a point. Check all that apply. For the same two points A and B, what are the i, j, and k components of the position vector that starts at A and ends at B? (Figure 2) Express your answers in feet to three significant figures separated by commas.

Explanation / Answer

Position vector is 2.70 i + 0.00 j + 2.20 k

Location is (2.70, 0, 2.20)

The first option is not a position vector.

4th,7th and 10th option are correct

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