Vector Studio — 3D Linear Algebra

वेक्टर स्टूडियो

3D में वेक्टर जोड़ें, मापें और प्रक्षेपित करें

शुरू करने के लिए टैप करें

Inputs

xyz

Presets

Display

cross product projection parallelogram angle arc

Computed

Dot product

u · v = |u||v| cos(θ)

—

Cross product

u × v = (u₂v₃−u₃v₂, u₃v₁−u₁v₃, u₁v₂−u₂v₁)

—

Angle between

θ = arccos((u·v)/(|u||v|))

—

Magnitudes

|u|, |v|, |u × v|

—

Object

Rotation (degrees)

θₓ — about X0°

θᵧ — about Y0°

θ𝓏 — about Z0°

Scale

sₓ1.00

sᵧ1.00

s𝓏1.00

Translation

tₓ0.00

tᵧ0.00

t𝓏0.00

Display

original (ghost) auto-spin Y

Composite Matrix M = T·R·S

4×4 transformation

—

Drag = orbit · Right-drag/Shift-drag = pan · Scroll = zoom

Plate IV. Two vectors and their cross product

ℝ³ · right-handed

u, v, u×v ∈ ℝ³

vector u

vector v

u × v

|u|—

|v|—

u·v—

|u×v|—

angle—

parallelogram area—