Cross Product of Two Vectors: Finding Component Along Direction of C

Click For Summary

Homework Help Overview

The discussion revolves around finding the component of the cross product of two vectors, A and B, along the direction of a third vector, C. The vectors are defined in a three-dimensional space with specific coefficients for each component.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss calculating the cross product A X B and then finding the component along C by using the dot product with the unit vector of C. There are questions regarding discrepancies in the expected answer and the results obtained.

Discussion Status

Some participants have provided steps for the calculation, while others express uncertainty about the accuracy of their results. There is no explicit consensus on the correct approach or outcome, but suggestions for checking algebraic mistakes have been made.

Contextual Notes

Participants note that the expected answer is -14.4, but results vary, leading to questions about potential algebraic errors or misunderstandings in the calculations.

Midas_Touch
I have two vectors A = 2x + 3y - 4z and B = -6x - 4y + z. The problem asks me to find the component of A X B along the direction of C = x - y + z. So I did put A and B into a matrix, but I didn't get the correct answer, which is -14.4. What am I doing wrong?
 
Physics news on Phys.org
First, find the vector D = A X B.
Then find the unit vector in the C direction.
Finally dot D with the unit vector of C.
 
mezarashi said:
First, find the vector D = A X B.
Then find the unit vector in the C direction.
Finally dot D with the unit vector of C.

I got -15 instead of -14.4 (the answer from the back of the book). I am not sure why it's a little off.
 
I can only suggest an algebriac mistake.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 13 ·
Replies
13
Views
4K
Replies
2
Views
2K
Replies
5
Views
2K
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K