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Grace [21]
3 years ago
6

Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.​

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)

The ratio of first unit vectors is:

\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}

In order for the vectors to be collinear the other ratio should also be 1/3

\frac{a_2}{b_2} = \frac{1}{3}

Writing it mathematically

\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6

Hence,

For n=6, the given vectors will be collinear.

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Assume (a,b) has a minimum element m.


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3 years ago
RS=2x-8, ST = 11, RT = x+10
ziro4ka [17]

Answer:

Equation~=~\Large\boxed{2x+3=x+10}

x~=~\Large\boxed{7}

RS~=~\Large\boxed{6}

RT~=~\Large\boxed{17}

Step-by-step explanation:

<u>Given information</u>

RS=2x-8

ST=11

RT=x+10

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

RS+ST=RT

<u>Substitute values into the given expression</u>

(2x-8)+(11)=(x+10)

<u>Combine like terms</u>

<em>The following is the expression</em>

\Large\boxed{2x+3=x+10}

<u>Subtract 3 on both sides</u>

2x+3-3=x+10-3

2x=x+7

<u>Subtract x on both sides</u>

2x-x=x+7-x

\Large\boxed{x=7}

<u>Substitute the x value into corresponding expressions to determine the final value</u>

RS=2x-8=2(7)-8=14-8=\Large\boxed{6}

RT=x+10=(7)+10=\Large\boxed{17}

Hope this helps!! :)

Please let me know if you have any questions

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divide 5,140 by 20,

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