Points A (-4.6) and B (-1.4) are given. Find the distance from point A to point B1

univerkov | April 12, 2021 | education

Points A (-4.6) and B (-1.4) are given. Find the distance from point A to point B1, the coordinate of which is opposite to the coordinate of point B.

Since B1 is opposite to B, its coordinates are (1; -4). Then the coordinates of the vector AB1 are:

AB1 = (1 – (-4); -4 – 6) = (5; -10).

The distance between points A and B1 is the absolute value of the vector AB1:

√ (5 ^ 2 + (-10) ^ 2 = √125 = 5√5.

Answer: the required distance is 5√5.

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