- #1
XSK
- 7
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Homework Statement
the question i have is about part b).
by 'a solution' does it mean what x equals?
as in show that x = -(a x b)/|a|^2 is a solution?
Quick Question About Wording: Solving for x in the Homework Statement
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SUMMARY
The discussion centers on interpreting the homework statement regarding solving for x in a mathematical context. Specifically, it clarifies that the expression x = -(a x b)/|a|^2 represents the solution for x. The participants confirm that since b is the cross product of vectors a and x, it is perpendicular to both, resulting in a dot product of zero. This understanding is crucial for correctly addressing part B of the homework assignment.
PREREQUISITES- Understanding of vector operations, specifically cross products and dot products.
- Familiarity with vector magnitudes and their properties.
- Knowledge of trigonometric functions, particularly cosine and its implications in vector angles.
- Basic algebraic manipulation skills to solve for variables in equations.
- Study vector algebra, focusing on cross product properties and applications.
- Learn about the geometric interpretation of dot products in relation to angles between vectors.
- Explore the implications of vector perpendicularity in physics and engineering contexts.
- Practice solving vector equations involving multiple variables and their relationships.
Students studying mathematics or physics, particularly those dealing with vector calculus and algebra, as well as educators looking to clarify concepts related to vector operations.
the question i have is about part b).
by 'a solution' does it mean what x equals?
as in show that x = -(a x b)/|a|^2 is a solution?
- #2
Alex6200
- 75
- 0
Well for part A if b is the cross product of a and x, then b is perpendicular to a and x, which would mean that its angle with a is 90. Since the dot product of a and b is equivalent to |a||b|cos(\vartheta), and since cos(90) = 0: the dot product must be 0.
Yes, I think for part B it's saying that that expression is the value of X.
Yes, I think for part B it's saying that that expression is the value of X.
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