What is the meaning of \vec{A} \times \vec{B}_\bot in vector notation?

In summary, "x" in mathematical and scientific notation represents an unknown quantity or value, and can also vary in different situations. Superscripts and subscripts are used to indicate specific properties or values related to a variable or number. "Σ" represents a summation, while "!" indicates the factorial operation. "≈" and "=" have different meanings, with "≈" representing an approximation and "=" representing an exact equality.
  • #1
coffekreizy
4
0
If A=(A1,A2,A3) and B=(B1,B2,B3), WHAT does this notation mean? :

(\vec{A} \times \vec{B})_\bot
 
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  • #2
Presumably that means to take the cross product of A and B, and then project out the part that is perpendicular to something.
 

1. What does "x" in this notation mean?

In mathematics and science, "x" is often used as a variable to represent an unknown quantity or value. It can also represent a specific value that can vary in different situations.

2. How do I read this notation with superscripts and subscripts?

Superscripts (written above the baseline) and subscripts (written below the baseline) are used to indicate certain properties or values related to a variable or number. For example, in the notation "x2", the subscript 2 indicates that the variable "x" is being evaluated at the second position, or that the value of x is squared.

3. What does "Σ" mean in this notation?

In mathematics, "Σ" (the Greek letter sigma) represents a summation, meaning that the values following it are being added together. It is commonly used in equations involving series or sequences.

4. Why is there an "!" in this notation?

The exclamation mark in mathematical notation is used to indicate the factorial operation. For example, "5!" means 5 factorial, which is equal to 5 x 4 x 3 x 2 x 1 = 120.

5. Can you explain the difference between "≈" and "=" in this notation?

"≈" (approximately equal to) is used to indicate that two values are very close, but not exactly equal. On the other hand, "=" (equals) is used to show that two values are exactly equal. For example, "π ≈ 3.14" means that π is approximately equal to 3.14, but not exactly equal to it.

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