As we discussed, it's often convenient to represent a vector as the sum of other vectors that point in standard directions (like the x and y directions).  We use i (bold, lowercase letter i) to indicate a vector of length 1 pointed in the x-direction, and we use j to indicate a vector of length 1 pointed in the y-direction. (These vectors of length 1 are called unit vectors). This makes it easier to add and subtract vectors because then we can just work with the scalar numbers in front of each unit vector, rather than having to draw pictures.    With this notation in mind, consider two vectors A = 2.3 i + 4.8 j and B = 1.2 i + 2.5 j    What is the x-component of the sum A + B?   What is the y-component of the sum A + B?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 52PQ: A Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors...
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As we discussed, it's often convenient to represent a vector as the sum of other vectors that point in standard directions (like the x and y directions).  We use i (bold, lowercase letter i) to indicate a vector of length 1 pointed in the x-direction, and we use j to indicate a vector of length 1 pointed in the y-direction. (These vectors of length 1 are called unit vectors). This makes it easier to add and subtract vectors because then we can just work with the scalar numbers in front of each unit vector, rather than having to draw pictures. 

 

With this notation in mind, consider two vectors A = 2.3 i + 4.8 j and B = 1.2 i + 2.5 j 

 

What is the x-component of the sum A + B?

 

What is the y-component of the sum A + B?

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