1) Determine whether the points below lie on a straight line. If they do not lie on a straight line do they determine a right triangle? (3, -6, 1), (5, 4, -1), (4, -1, 0) 2) Describe in words the...

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1) Determine whether the points below lie on a straight line. If they do not lie on a straight line do they determine a right triangle? (3, -6, 1), (5, 4, -1), (4, -1, 0)
2) Describe in words the region of 3 represented by the equation y2 + z2= 16.
3) A sled is pulled horizontally over ice by a rope attached to its front. A 20-lb force acting at an angle of 60° with the horizontal moves the sled 100 feet. Find the work done.
4) Find AB if A = (2,3,5) and B = (-1, 2, 7).

005_iofg5k-bfeola2u.pdf 005_aojg5k-xl1tmx1t.pdf

Answered Same DayDec 23, 2021

Answer To: 1) Determine whether the points below lie on a straight line. If they do not lie on a straight line...

David answered on Dec 23 2021

125 Votes

Sol: 1 Let
     3, 6,1 , 5,4, 1 , 4, 1,0A B C     
, and A B C , all lie on the same line if and only if the vector from to A C is a scalar
multiple of the vector from to .A B so, computing the vectors:

     
       
4, 1,0 3, 6,1 1,5, 1 ,
5,4, 1 3, 6,1 2,10, 2...

SOLUTION.PDF

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

1) Determine whether the points below lie on a straight line. If they do not lie on a straight line do they determine a right triangle? (3, -6, 1), (5, 4, -1), (4, -1, 0) 2) Describe in words the...

Answer To: 1) Determine whether the points below lie on a straight line. If they do not lie on a straight line...

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