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 .

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!