If the position vector of a point P is given by r = (2t, 3t, 4t), find the coordinates of P when t = 1.
Correct Answer: (2, 3, 4)
- Step 1: Identify the position vector of point P, which is given as r = (2t, 3t, 4t).
- Step 2: Understand that 't' is a variable that can take different values.
- Step 3: We need to find the coordinates of point P when t = 1.
- Step 4: Substitute t = 1 into the position vector: r = (2*1, 3*1, 4*1).
- Step 5: Calculate each component: 2*1 = 2, 3*1 = 3, and 4*1 = 4.
- Step 6: Write the final coordinates of point P as r = (2, 3, 4).
No concepts available.
