Math Problem Statement

give a paralleogram vector problem to solve

Solution

Here's a vector problem involving a parallelogram for you to solve:

Problem:

Given two vectors a = (3, 4) and b = (2, -1), find the following:

  1. The area of the parallelogram formed by the vectors a and b.
  2. The diagonal of the parallelogram that connects the origin to the opposite corner.

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Math Problem Analysis

Mathematical Concepts

Vector Algebra
Parallelograms
Cross Product

Formulas

Area of parallelogram = |a × b|
Diagonal formula: d = a + b

Theorems

Parallelogram area theorem
Cross product properties

Suitable Grade Level

Grades 9-12

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