Find the Magnitude and the Direction (Unit Vetors)

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SUMMARY

The discussion focuses on vector operations, specifically the addition and subtraction of unit vectors, as well as scalar multiplication. The vectors in question are B = -7i + 2j and G = 6i - 4j. The user seeks to find the magnitude and direction of B + G, B - G, and 3B. The correct approach involves using component notation to separately handle the i and j components of the vectors.

PREREQUISITES
  • Understanding of vector notation (i.e., unit vectors i and j)
  • Basic knowledge of vector addition and subtraction
  • Familiarity with scalar multiplication of vectors
  • Ability to calculate the magnitude of a vector
NEXT STEPS
  • Learn how to calculate the magnitude of a vector using the formula √(x² + y²)
  • Study vector addition and subtraction in detail, focusing on component-wise operations
  • Explore scalar multiplication of vectors and its geometric interpretation
  • Review diagrams and graphical representations of vectors for better understanding
USEFUL FOR

Students in physics or mathematics courses, particularly those learning about vectors, as well as educators looking for clear explanations of vector operations.

sugar1
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Hi,

I missed the first lecture of my physics class and need help answering these simple questions. They have to do with adding and subtraction and multiplying unit vectiors. What do they mean by direction, this is in degrees?

Also, I am not sure if this is possible but a diagram would be very helpful.

Homework Statement



Suppose B = -7i + 2j and G=6i - 4j. Find the magnitude and direction of:

a.) B + G
b.) B - G
c.) 3B

Thank you
 
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Do you have a textbook for your class? It will show you how to add and subtract vectors, calculate their magnitudes, and find unit vectors.
 
sugar1 said:
Hi,

I missed the first lecture of my physics class and need help answering these simple questions. They have to do with adding and subtraction and multiplying unit vectiors. What do they mean by direction, this is in degrees?

Also, I am not sure if this is possible but a diagram would be very helpful.

Homework Statement



Suppose B = -7i + 2j and G=6i - 4j. Find the magnitude and direction of:

a.) B + G
b.) B - G
c.) 3B

Thank you
Can you determine at least what B+ G, B- G, and 3B are? The point of "component notation" is that you can deal with the corresponding components separately:
(ai+ bj)+ (ci+ dj)= (a+c)i+ (b+d)j, 3(ai+ bj)= 3ai+ 3bj.
 

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