Equal, collinear and coinitial vectorsसमान, संरेख और सह-आदिम सदिशEqual, collinear aur coinitial vectors

NCERT Fig 10.5 (Example 3) · Class 12 Maths · Chapter 10 · interactive diagram

Parts and what they mean

• Vector \vec{a} (सदिश \vec{a}) — Same length and same direction as \vec{c}, so \vec{a} = \vec{c} (its position does not matter — free vectors).
• Vector \vec{c} (सदिश \vec{c}) — Equal to \vec{a}; collinear with \vec{a} and \vec{d}; starts at the common point.
• Vector \vec{d} (सदिश \vec{d}) — Parallel to \vec{c} but pointing the opposite way: collinear, NOT equal.
• Vector \vec{b} (सदिश \vec{b}) — Not parallel to the others, but it starts at the same point as \vec{c} and \vec{d}: coinitial.
• Common initial point (उभयनिष्ठ प्रारंभिक बिंदु) — \vec{b}, \vec{c}, \vec{d} all start here, so they are coinitial vectors.
• Answer of Example 3 (उदाहरण 3 का उत्तर) — Collinear: a, c, d. Equal: a and c. Coinitial: b, c, d.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 10.5 (Example 3). Report a mistake