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Calculus - Vectors - Finding Unit Vectors

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Q.2(a) Find the value of Lamda if Lamda(2i- 4j+4k) is a unit vector.

(b) If a,b and c are any vectors such that a = ( 2 , 4 , - 5), b = ( 1 , 1 , 1 ),
c = ( 0 , 1 , 2 ) find the unit vectors parallel to (a+b+c).

(c)If r = xi+yj+zk then write the unit vector in the direction of r.

(d)Determine a unit vector parallel to the sum of the vectors (2i+4j-5k) and

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Solutions to the posted problems are given with step by step explanation so that students could easily understand and use these solutions to solve other similar problems.

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Solution (a)
The value of Lamda = (plus of minus) 1/(sq.rt.6)

Solution (b)
The uit ...

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