Math Problem Statement

izrisini šõ

Dots paralelograms ABCD un vektori BA = a, BC = b, AC = c

Solution

The image you uploaded contains a series of mathematical vector problems related to a parallelogram. Here's a breakdown of the tasks presented:

1.1 Problem

The first question is asking which of the following vector relationships is true, specifically focusing on the vectors of the parallelogram.

  • Options:
    • DA=bDA = b
    • AD=bAD = b
    • CA=dCA = d
    • DC=aDC = a

1.2 Problem

This question is asking which of the vector equations is correct for the vector dd.

  • Options:
    • d=a+bd = a + b
    • d=abd = a - b
    • d=a+bd = -a + b
    • d=abd = -a - b

1.3 Problem

The final question asks you to determine the coordinates of vector b\vec{b}, given the points B(6;2)B(6; 2) and C(8;6)C(8; 6).

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Math Problem Analysis

Mathematical Concepts

Vector Analysis
Properties of Parallelograms
Coordinate Geometry

Formulas

Vector Addition
Properties of Vectors in Parallelograms

Theorems

Opposite sides of a parallelogram are equal and parallel

Suitable Grade Level

Grades 9-11