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artcher [175]
3 years ago
9

Two boys searching for buried treasure are standing underneath the same tree. one boy walks 12 m east and then 12 m north. the o

ther boy walks 18 m west and then 11 m north. find the scalar product of their net displacements from the tree.
Mathematics
1 answer:
mylen [45]3 years ago
5 0
Let
 The origin of coordinates the tree
 r1 = vector position of the child 1.
 r2 = vector position of the child 2
 Child 1:
 r1 = (12i + 12j)
 Child 2:
 r2 = (-18i + 11j)
 The scalar product will be given by:
 r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
 The scalar product of their net displacements from the tree is -84m ^ 2
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3 years ago
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Answer:

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

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Step-by-step explanation:

Given :

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A(−3, 4), B(4, −2), C(8, 3)

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To find the co-ordinates of point A after translation.

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For shift of c units up, the translation is given as:

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For shift of k units right, the translation is given as:

(x,y)\rightarrow (x+k,y)

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

So, co-ordinates of point A after translation is given by :

(-3,4)\rightarrow (-3+1,4+2)=(-2,6)

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4 years ago
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3 years ago
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kumpel [21]

Answer:

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Step-by-step explanation:

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Hope this helps.

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