Answer to Question #84254 in Calculus for Hardy

Question

Q1.A particle is positioned at the origin of a set of axes. Two forces act on it. The first has magnitude 5 N and acts in the direction of the negative x-axis. The second has magnitude 12 N and acts in the direction of the positive y-axis. Calculate the magnitude and direction of the resultant force.

Q2 If a = 5i - 2j and b = -2i + 2j, find unit vectors of vectors a, b and a - b.

Q3 If u = 3i + 2j and v = -5i + 4j,
(a) Express i and j in terms of u and v.
(b) Suppose i + 8j = au + bv, find the values of a and b

Q4If a = 3i - 2j and b = 2i - 3j, find

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(i) │a│; (ii) b ; (iii) │b - a│; (iv) │a - b│.