SOLUTION: Let CC and DD be points with position vectors c and d respectively. If |c|=5, |d|=7 and c⋅d=4, find vector|CD| How can i handle this problem? Thank you so much

Algebra.Com
Question 1041269: Let CC and DD be points with position vectors c and d respectively. If |c|=5, |d|=7 and c⋅d=4, find vector|CD|
How can i handle this problem?
Thank you so much

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Let vector c = OC be (a,b) and let vector d = OD be (r,s)
==> vector CD is (r-a, s-b).
Now , and .
Also, c*d = 4 ==> ar + bs = 4 ==> 2ar + 2bs = 8
==>
=
=.
But , and
therefore..
.

RELATED QUESTIONS

A and B have position vectors 3i + 6j and 6i +3j respectively. C lies on OA where OC : CA (answered by greenestamps)
The points A, B, C and D have position vectors i +j +k, 2i+3j, 3i+5j-2k and -j+k... (answered by Fombitz)
number of ways that two letters can be selected from {A, B, C, D} if order in the sample... (answered by Edwin McCravy)
The point A,B,C and D have position vectors(1),(2),(0) (d) (answered by ikleyn)
The point A,B,C and D have position vectors(1),(2),(0) (d) (answered by ikleyn)
Find the distance between the points A(4, -3) and B(-4, 3). I came up with:... (answered by scott8148)
Let ABC be a triangle with centroid G. Points L, M, and N are the midpoints of sides BC,... (answered by ikleyn)
Let B, C, and D be points on a circle. Let BC and the tangent to the circle at D... (answered by ikleyn)
If A and B are 3×6 matrices, and CC is a 9×3 matrix, which of the following are defined? (answered by jim_thompson5910)