(i) If then the value of will be:

(a) √85
(b) √86
(c) √87
(d) √88

(ii) If a line makes an angle α, β and γ with positive direction of the coordinate axes, then the value of sin²α+ sin²β + sin²γ will be:

(a) 1
(b) 3
(c) -2
(d) 2

(iii) In the figure. given below, if the coordinates of the point P are (a, b, c), then what are the perpendicular distances of P from XY, YZ and ZX planes respectively?



(iv) If a^->=2i^+j^+ 2k^ and b^-> = 5i^-3j^+ k^, find the projection of b^-> on a^->

(v) Find a vector of magnitude 20 units parallel to the vector 2i^ + 5j^+ 4k^

Solution

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