ABCD-parallelogram. vector AB = Vector a, vector AD = Vector b. Express vectors BC, CD, AC, DC, OA

| August 2, 2021 | education

ABCD-parallelogram. vector AB = Vector a, vector AD = Vector b. Express vectors BC, CD, AC, DC, OA in terms of vectors a and b.

Let’s find the vectors BC, CD, AC DC, OA, knowing that the vector AB = a; vector ВС = b. To determine vectors, you need to know the rules for summing vectors, vectors are equal if their beginnings and ends coincide, and are directed in the same direction. This means that the vector AB = is the vector BA. Parallel vectors pointing in the same direction are equal. Let’s write the equalities:

ВС = b by condition. CD = – AB = – a, that is, the modules of the vectors are equal, and the directions are multidirectional.

AC = AB + BC = a + b, where all designated quantities are vectors.

DC – – CD = -AB = -a. ОА = 1/2 CA = – (a + b).



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