The Cartesian equation of a line is x-5/3 = y+4/7 = z-6/z write it's vector form
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The Cartesian equation of a line is given by
(X-5)/3 = (Y-4)/7 =(z-6)/2 write its vector form
Answer
Given
Equation of a line (X-5)/3=(y-4)/7=(z-6) /2
Now
Taking the terms which. Are written denominator
( 3 i cap + 7 j cap + 2 k cap )
And now taking the terms or numbers from the numerator
( 5 i cap - 4 j cap + 6 k cap )
Now
We can write the equation in in vector form
r cap = ( 5 i cap - 4 j cap + 6 k cap ) + λ ( 3 i cap + 7 j cap + 2 k cap )
Hope u understand
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