Interactive Vector Laboratory — Class 11 & 12 Physics Simulator

Live Vector Parameters Enable Vector C

Vector A⃗

A⃗ = 4.00 î + 3.00 ĵ

Magnitude |A|5.00

Direction θ_A36.9°

Component Aₓ (A cos θ)

Component Aᵧ (A sin θ)

Vector B⃗

B⃗ = 2.00 î + 4.00 ĵ

Magnitude |B|4.47

Direction θ_B63.4°

Component Bₓ (B cos θ)

Component Bᵧ (B sin θ)

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Multiplies a vector by a real number (scalar). Changes magnitude; reverses direction if k < 0.

Result: Vector in same/opposite line

Type of Result: 2D/3D Vector

Physical Example: p⃗ = m v⃗ (Momentum) or F⃗ = m a⃗

Measures how much A⃗ and B⃗ point along each other: |A||B| cos θ.

Result: Scalar Number

Type of Result: Scalar Quantity

Physical Example: Work W = F⃗ · s⃗, Electric Flux Φ = E⃗ · A⃗

Measures perpendicularity & rotational effect: |A||B| sin θ n̂.

Result: 3D Orthogonal Vector

Type of Result: Vector ⊥ to Plane

Physical Example: Torque τ⃗ = r⃗ × F⃗, Magnetic Force F⃗ = q(v⃗ × B⃗)

Vector A⃗ Vector B⃗ Resultant / Output 💡 Drag any vector arrowhead directly on canvas

Operation Controls

Mathematical Telemetry

Practice Challenge

Predict the resultant magnitude |R| for the current vectors A and B:

Live Classroom Concept Breakdown (Synchronised with Workspace) Real-Time Interactive Mode

Interactive Vector Laboratory Class 11 & 12 Physics