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SSSSS [86.1K]
3 years ago
15

The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

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Given

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We start by checking if it is arithmetic by checking for common difference (d).

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This gives:

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Solving (8):

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