Vector (cross) product and the right-hand ruleसदिश (क्रॉस) गुणनफल और दाएँ हाथ का नियम

NCERT Fig 6.15 · interactive diagram

Parts and their functions

• Plane of a and b (a और b का तल) — a × b is perpendicular to this plane.
• Vector a (सदिश a) — First vector (in τ = r × F, this is r).
• Vector b (सदिश b) — Second vector (in τ = r × F, this is F).
• c = a × b (c = a × b) — Magnitude ab sin θ = area of the parallelogram on a and b.
• Angle θ (smaller one) (कोण θ (छोटा वाला)) — θ = 0 or 180° ⇒ a × b = 0 (parallel vectors).
• b × a = −a × b (b × a = −a × b) — The cross product is not commutative.
• Right-hand (screw) rule (दाएँ हाथ (पेंच) का नियम) — Curl the fingers from a to b through θ; the thumb points along a × b.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 6.15. Report a mistake