Write Tr = T1 + T2 in vector notation

In summary, "Tr = T1 + T2" in vector notation means that the resultant vector (Tr) is equal to the sum of two other vectors (T1 and T2). The formula is typically written using bold letters or arrows to represent the vectors and follow certain rules, such as having the same number of dimensions and being commutative and associative. Vector notation differs from scalar notation in that it uses vectors and vector operations instead of just numbers and operators. In physics, "Tr = T1 + T2" is often used to calculate resultant forces, displacements, momentum, or velocity when multiple forces or displacements are acting on an object.
  • #1
bbarke00
6
0
Problem is here http://engineeringhomework.net/statics/hw1p19.html" I understand that Tr=T1+T2, but the different axis is throwing me off.
 
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  • #2
hi bbarke00! :smile:

to find the component of F in a particular direction,

always multiply F by cos of the angle from that direction

(the only time you use sin is when you're given an angle θ which is 90° minus the angle you want … then it's still cos, but it's cos(90° - θ) which of course is sinθ :wink:)

show us what you get :smile:​
 

FAQ: Write Tr = T1 + T2 in vector notation

What is the meaning of "Tr = T1 + T2" in vector notation?

In vector notation, this expression means that the resultant vector (Tr) is equal to the sum of two other vectors (T1 and T2).

How do you write "Tr = T1 + T2" in vector notation?

The formula can be written as Tr = T1 + T2, where the vectors are typically represented by bold letters or arrows over the letters to indicate their direction.

What are the rules for adding vectors in vector notation?

The rules for adding vectors in vector notation are as follows:

  • Vectors must have the same number of dimensions.
  • Addition is commutative, meaning that changing the order of the vectors does not change the result.
  • Addition is associative, meaning that changing the grouping of the vectors does not change the result.
  • Vectors can be added using the parallelogram law or the triangle law.

What is the difference between scalar and vector notation?

In scalar notation, mathematical equations are written using only numbers and operators, while in vector notation, equations are written using vectors (which have both magnitude and direction) and vector operations (such as addition and multiplication).

How is "Tr = T1 + T2" used in physics?

This expression is often used in physics to calculate the resultant force or displacement of an object when multiple forces or displacements are acting on it simultaneously. It can also be used to calculate the net momentum or velocity of an object in motion.

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