maths.free › Precalculus › Vectors
Vectors
Magnitude, direction, components, and adding vectors head to tail.
A vector is a quantity with magnitude and direction, displacement, velocity, force. In components it is just a column of numbers, adding entry by entry; its length comes from Pythagoras. Linear algebra picks up here.
Esempio svolto · [[3],[4]]
Passo dopo passo
- \left[\begin{matrix}3\\4\end{matrix}\right]
A 2×1 matrix.
- \operatorname{rank} A = 1
Rank (number of independent rows).
- A^T = \left[\begin{matrix}3 & 4\end{matrix}\right]
Transpose.
Rivela la risposta
Ora tu Scegli un problema, o digitare o disegnare il proprio. Ogni passo, un'immagine, la risposta nascosta fino a quando non si chiede.
Simboli utilizzati qui
Toccare qualsiasi simbolo per la definizione completa, un'immagine, e che cosa ogni lettera in esso significa.
Come: Vectors
- A 2×1 matrix.
- Rank (number of independent rows).
- Transpose.
Domande che la gente chiede
What is a function, really?
A rule that assigns exactly one output to each input. The vertical-line test on a graph is the same idea: no input may have two outputs.
Why do we need complex numbers?
Because x² + 1 = 0 has no real solution, and allowing one new number i with i² = −1 makes every polynomial equation solvable. They then turn out to describe rotation, waves and alternating current more naturally than real numbers do.
Altro in Precalculus
Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsExponential and logarithmic functionsPolynomial division and the remainder theoremParametric equations and polar coordinates