Vector Algebra
The symbols used in Vector Algebra are tabulated below:
SYMBOL | NAME | MEANING/DEFINITION | EXAMPLE |
---|---|---|---|
[Tex]\vec V [/Tex] | Vector V | V is a quantity that has both magnitude and direction | [Tex]\vec V = x\hat i + y\hat j + z\hat k [/Tex] |
[Tex]|\vec V| [/Tex] | Magnitude of Vector V | It indicates the scalar length of vector V | For a vector V = (2i + 3j + k), it magnitude is √(22 + 32 + 12) = 3.74 |
u + v | Vector Addition | (u1 + v1, u2 + v2, u3 + v3) | Consider two vectors u = ( 2 , 3, 1) and v = ( 1, 2, 3) u + v = ( 2,3,1) + (1,2,3) = (3, 5, 4) |
c . u | Scalar Multiplication | ( c . u1 , c . u2, c. u3) | c = 3 , u = (3, 2, 1) 3 . u = 3 . ( 3,2,1) = (9, 6,3) |
u . v | Dot Product | uv cos θ | u.v = (i + 2j + 3k).(3i + 4j + 5k) = 26 |
u ⨯ v | Cross Product | uv Sin θ | u ⨯ v = (3i + 4j + 5 k) ⨯ (i + 2j + 3k) = 2i -j + 2k |
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Algebra Symbols
Algebra Symbols are specific characters that are used to represent particular operations in Algebra. The branch of Algebra deals with the relation between variables and constants. There are different branches of Algebra such as linear algebra, vector algebra, and Boolean algebra for which we have different algebra symbols.
In this article, we will learn how to represent variables and constants in algebra and also different symbols
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