Question

The coordinates of a particle in a rectangular coordinate system are (1.0, –4.0, 6.0). What is the position vector of the particle?

a) Option a: (1.0ˆi + 4.0ˆj + 6.0ˆk); Option b: (1.0ˆi - 4.0ˆj + 6.0ˆk)
b) Option a: (1.0ˆi + 4.0ˆj - 6.0ˆk); Option b: (1.0ˆi - 4.0ˆj + 6.0ˆk)
c) Option a: (1.0ˆi - 4.0ˆj - 6.0ˆk); Option b: (1.0ˆi + 4.0ˆj + 6.0ˆk)
d) Option a: (1.0ˆi - 4.0ˆj + 6.0ˆk); Option b: (1.0ˆi + 4.0ˆj - 6.0ˆk)

Answer 1

The position vector of the particle is (1.0îi - 4.0îj + 6.0îk).

Step-by-step explanation:

The position vector of a particle is given by the coordinates (x, y, z) in a rectangular coordinate system. In this case, the coordinates of the particle are (1.0, -4.0, 6.0). To find the position vector, we can express it in terms of the unit vectors îi, îj, and îk, where îi represents the x-direction unit vector, îj represents the y-direction unit vector, and îk represents the z-direction unit vector. Therefore, the position vector is (1.0îi - 4.0îj + 6.0îk).