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Unit Vector and Zero Vectors
Unit Vector
Any vector along with magnitude of 1, that is || u→|| = 1, is called a unit vector.
Zero Vectors
The vector w→ = (0,0) is called a zero vector as its components are all zero. Zero vectors are frequently denoted by 0→. Be careful to differentiate 0 (the number) from 0→ denotes the vector. The number 0 represents the origin in space, whereas the vector 0→ denotes a vector that comprises no magnitude or direction.
Diagonals of a trapezium divide each other proportionally: Given : In trapezium ABCD , AB// DC R.T.P :AO/OC = BO/OD Construction: Draw the line PQ; parallel to AB or C
(1) Show that the conclusion of Egroff's theorem can fail if the measure of the domain E is not finite. (2) Extend the Lusin's Theorem to the case when the measure of the domain E
show that all primes except 2, are of the form 4n-1 or 4n+1
a3-a2+a-1
Determine the coordinates of the point equidistant from Salt Lake City and Helena
a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in
Determine the inverse transform of each of the subsequent. (a) F(s) = (6/s) - (1/(s - 8)) + (4 /(s -3)) (b) H(s) = (19/(s+2)) - (1/(3s - 5)) + (7/s 2 ) (c) F(s) =
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