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vladimir1956 [14]
3 years ago
9

177,178,179,180,190,200,210,211,212,213 why this pattern?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
8 0
Because it is least to greatest
marysya [2.9K]3 years ago
8 0
Because it is least to greatest
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When 9/10 is divided by 2/5 , will the quotient be greater than 1 or less than 1.
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I really Need help solving this problem!
Paraphin [41]

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Hello,

Answer A : 11.2 ≤ X ≤ 29.2

Step-by-step explanation:

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Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

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