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-- Mathematics - Section B1
Vectors
If →a x →b = →c and →b x →c = →a, then : |
→a, →b, →c are orthogonal in pairs but |→a| = |→c| →a, →b, →c are NOT orthogonal to each other. →a, →b, →c are orthogonal in pairs and |→a| = |→c| = |→b| = 1 →a, →b, →c are orthogonal but |→b| ≠ 1 |
→a, →b, →c are orthogonal in pairs and |→a| = |→c| = |→b| = 1 |
→a x →b = →c is ⊥ to both →a and →b →b x →c = →a is ⊥ to both →b and →c Thus, →a, →b, →c form an orthogonal system. Taking mode of both sides of given relation |→a||→b| Sinπ2 = |→c| and |→b||→c| Sin π2 = |→a| Putting for |→c|, we get |→b|=1 ⇒ |→a| = |→c| = |→b| = 1 |