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- 1Addition of vectors - ------------------------ 1. p-divides a and b in m:n then, p= mb+na/m+n . 2. passing through a and parallel to b is r=a+tb . 3. passing through a and b , r= (1-t)a+tb . 4. passing through a and parallel to b and c , r=a+tb+sc . 5. passing through a b c , r=(1-t-s)a+tb+sc .product of vectors -
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1. a.b= |a||b| cos 0 .
2. cos0 = a.b/|a||b| = (a1b1+a2b2+a3b3)/(rta1^2 rtb1^2).
3. projection vector
a=(a.b)/|a^2| .(a).
4. bXa=-(aXb) .
5. aXb = mod of i - a1 b1 , j- a2 b2 , k- a3 b3.
6. sin 0 = |aXb|/|a||b|.
7. [a b c] = (a X b).c .
8. vectors a b c are coplanar then [abc]=0 .
9. volume of a tetrahedron =
1/6 | [AB AC AD] |
10. the shortest distance between two skew lines is (|(c-a) . (bXd)| / |bXd|) .
11. passing through a and parallel to b is (r-a) - 2—
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- Flashcards on Untitled, created by ADIL PASHA on 22/02/2022.
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