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High School Mathematics - 2
5.9 Position Vector of a Point





Directions: Answer the following.
Q 1: Find the unit vector in the direction of of P(1,2) and Q(4,5).
2i+5j
(i+j)/2
3i-2j

Q 2: If P = 2,4,7 and P2 = (-4, -1, 5) then find the magnitude of vector P1P2.
6i+5j
65
3i+6j

Q 3: Find a unit vector in the direction from P(3,2) towards Q(5,6).
i/5 + 2j/5
4i+5
2i+3

Q 4: Find the vector with initial point P(6,-2) and terminal point Q(4,-8).
6i-9j
-2i+10j
8i+2j

Q 5: If P = 2,4,7 and P2 = (-4, -1, 5) then find vector P1P2.
-6i-5j-2k
-6i+5j
6i+5j+3k

Q 6: Find the unit vector in the direction of P(1,2,3) towards Q(4,5,6).
8j-2k
(i+j+k)/3
6i+5j+2k

Q 7: Find a unit vector parallel to the sum of vectors a = 2i+4j-5k, b = i+2j+3k
3/7i + 6/7j - 2/7 k
8i+4j-3k
2-i8

Q 8: Find the condition that the vectors a = ki + 3j and b = 4i+kj, (k not equal to 0) are parallel.
k2 = 12
k = 6
k = 0

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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