Vector product - Solving
Last updated at April 16, 2024 by Teachoo
Ex 10.4, 6 Given that π β . π β = 0 and π β Γ π β = 0 β . What can you conclude about the vectors π β and π β ? π β . π β = 0 π β . π β = |π β ||π β | cos ΞΈ β |π β ||π β | cos ΞΈ = 0 β |π β | = 0 or |π β | = 0 or cos ΞΈ = 0 i.e. ΞΈ = 90Β° π β Γ π β = 0 π β Γ π β = |π β ||π β | sin ΞΈ π Μ β |π β ||π β | sinΞΈ π Μ = 0 β β |π β | = 0 or |π β | = 0 or sin ΞΈ = 0 i.e. ΞΈ = 0Β° Given, Since ΞΈ = cannot be equal to 0Β° and 90Β° simultaneously, So, sin ΞΈ = 0 or cos ΞΈ = 0 is not possible. Thus, either |π β | = 0 or |π β | = 0 Hence, either π β = 0 β or π β = 0 β .