Basic

calculate the cosine of A in the Δ ABC where A(1,-1,2) B(6,11,2) C(1,2,6)

3 Answers

106
Asish Mahapatra ·

METHOD I: use cosA = b2 + c2 - a2/2bc
after finding a,b,c using distance formula

METHOD II: cosA = AB.AC/lABl*lACl
Simple find AB vector, AC vector. Take dot product and divide by the product of their magnitudes

1
Harry Potter ·

CosA=AB.AC/|AB|*|AC|

AB=-5i-12j+ok

AC=0i-3j-4k

AB.AC=0+36+0=36

|AB|*|AC|=√ 25+144+0*√9+16
=13*5=65

CosA= 36/65

1
Philip Calvert ·

jyada hi basic ho gaya :-)
thanks anyways

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