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" 14."60sqrt((1)/(6))+3sqrt(54)-12sqrt((...

" 14."60sqrt((1)/(6))+3sqrt(54)-12sqrt((1)/(24))

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2sqrt(6)xx3sqrt(54) = :-

4sqrt(6)-8sqrt(16)+3sqrt(6)+12sqrt(10)

The direction cosines of AB if A-=(2,-3,1)and B-=(14,5,-3) are: a) (3)/(sqrt(14)),(2)/(sqrt(14)),(1)/(sqrt(14)) b) (3)/(sqrt(14)),-(2)/(sqrt(14)),-(1)/(sqrt(14)) c) -(3)/(sqrt(14)),-(1)/(sqrt(14)),(2)/(sqrt(14)) d) (3)/(sqrt(14)),(2)/(sqrt(14)),-(1)/(sqrt(14))

The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3,\ 1,\ -2 b. 2,\ -4,\ 1 c. 3/(sqrt(14)),1/(sqrt(14)),(-2)/(sqrt(14)) d. 2/(sqrt(41)),(-4)/(sqrt(41)),1/(sqrt(41))

Find the 5th term of the progression 1,((sqrt(2)-1))/(2sqrt(3)),((3-2sqrt(2))/(12)),((5sqrt(2)-7)/(24sqrt(3)))

4sqrt(6)xx3sqrt(24) = :-

4sqrt(6)xx3sqrt(24) = :-

The value of 6+log_((3)/(2))((1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))...cdots))))