Vector Questions: Solve & Learn

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SUMMARY

The discussion focuses on vector properties and their applications in solving vector problems. Key topics include the direction of resultant vectors based on their components and the commutative and associative properties of vector addition and multiplication. The incorrect property identified is A x B = B x A, as the cross product is not commutative. Participants emphasize the importance of demonstrating effort in problem-solving rather than seeking direct answers.

PREREQUISITES
  • Understanding of vector components and their summation
  • Familiarity with vector operations such as addition, subtraction, and cross product
  • Knowledge of vector direction terminology (e.g., North of East, South of West)
  • Basic grasp of mathematical proof techniques to validate vector properties
NEXT STEPS
  • Study vector addition and subtraction in detail
  • Learn about the properties of vector cross products
  • Explore vector component analysis in physics problems
  • Practice solving vector direction problems using diagrams
USEFUL FOR

Students studying physics or mathematics, educators teaching vector concepts, and anyone looking to improve their problem-solving skills in vector analysis.

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Homework Statement

Homework Equations

The Attempt at a Solution

 
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Can You guys help me with those?

4. The summation of components in x and y are negative and positive, respectively. The direction of resultant having

these components is

a. N of E b. N of W c. E of N d. S of W5.Which of the following vector properties is INCORRECT?

a. A + B = B + A b. A · B = B · A c. A x B = B x A d. A – B = - B + A
 
Please understand , nobody here is going to solve your questions for you . Show some effort .

So , what have you tried till now ?
 

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