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If the position vector of a point P is given by r = (2t, 3t, 4t), find the coord
If the position vector of a point P is given by r = (2t, 3t, 4t), find the coordinates of P when t = 1.
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Practice Questions
1 question
Q1
If the position vector of a point P is given by r = (2t, 3t, 4t), find the coordinates of P when t = 1.
(2, 3, 4)
(1, 1, 1)
(0, 0, 0)
(2, 4, 6)
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Substituting t = 1, r = (2*1, 3*1, 4*1) = (2, 3, 4).
Questions & Step-by-step Solutions
1 item
Q
Q: If the position vector of a point P is given by r = (2t, 3t, 4t), find the coordinates of P when t = 1.
Solution:
Substituting t = 1, r = (2*1, 3*1, 4*1) = (2, 3, 4).
Steps: 6
Show Steps
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).
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