Grade 11Mechanics
Sector =icap-kcapB vector =jcap-icapCross product of it
Sector =icap-kcap
B vector =jcap-icap
Cross product of it
1 Answer
Deepak Kumar Shringi
We are given two vectors:
Sector = î - k̂
Vector B = ĵ - î
We need to find their cross product:
A × B = (î - k̂) × (ĵ - î)
Step 1: Expand the Cross Product
Using the distributive property of cross products:
A × B = î × ĵ - î × î - k̂ × ĵ + k̂ × î
We now evaluate each term:
î × ĵ = k̂
î × î = 0 (since the cross product of any vector with itself is zero)
k̂ × ĵ = -î (using the right-hand rule)
k̂ × î = ĵ
Step 2: Substitute the Values
A × B = k̂ - 0 - (-î) + ĵ
A × B = k̂ + î + ĵ
Final Answer:
A × B = î + ĵ + k̂
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