Triangles A BC and A EF satisfy EB = BF , A B = EF = 1 , BC = 6 , A C = 33 , and A B ⋅ A E + A C . A F = 2 . Find BC ⋅ BF .

Start Free Mock LoginAlready registered? Login here

Mathematics - Vector Question with Solution | TestHub

MathematicsVectorMiscellaneous/MixedMedium2 minQB

MathematicsMediuminteger

Triangles $A BC$ and $A EF$ satisfy $EB = BF, A B = EF = 1, BC = 6, A C = 33$ , and $A B \cdot A E + A C$ . $A F = 2$ . Find $BC \cdot BF$ . Triangles ABC and AEF geometry diagram

Answer:

Solution:

Use AE=AB+BE, AF=AB+BF, and BE=-BF. Also |AB+CA|=BC gives AB dot AC=-1. The given equation simplifies to (BA+AC) dot BF=BC dot BF=2.

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...