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High School Mathematics - 2
5.8 Vectors - Review

Q 1: Find a unit vector parallel to the sum of the vectors a = 2i+4j-5k and b = i+2j+3k.
Answer:

Q 2: Find the length of the vector 3i+6j-2k
Answer:

Q 3: Find the unit vector in the direction of P(1,2,3) towards Q(4,5,6).
Answer:

Q 4: Compute |i+j+k|
Answer:

Q 5: Find the magnitude of | 3i + 2 j +4 k|
Answer:

Q 6: Find the unit vector in the direction of P(1,2) towards Q(4,5)
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Q 7: Vectors drawn from the origin to the points A, B and C are respectively a, b and 4a-3b. Find AC.
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Q 8: Find the vector with initial point P(-4,2) and terminal point Q(0,-4).
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