# Physics

Content type
User Generated
Subject
Physics
Type
Homework
Rating
Showing Page:
1/5

Showing Page:
2/5

Showing Page:
3/5

End of Preview - Want to read all 5 pages?
Access Now
Unformatted Attachment Preview
(1) Given the following arbitrary vectors answer the following : a. What is ⃗ .⃗ A B ⃗ C ⃗ b. What is B+ c. ⃗ C ⃗ What is C× ANSWER: Here three arbitrary vectors are given, and each vector will have three component in x , y , z direction. Such as , ⃗ A i+ A j+ A k A= X Y z ⃗ B=B X i+B Y j+ B z k ⃗ C=C X i+C Y j+C z k (a) ⃗ .⃗ A B is a scalar product. A dot product conceptually is the projection that one vector has over another. This is why it is a scalar, it only tells the length of the projection. Another way of thinking is that it tells one how 'parallel' the two vectors are to one another. ⃗ .⃗ A B = ( A X i+ A Y j+ A z k ).(B X i+ BY j+ Bz k ) = A X B X (i. i)+ AY BY ( j. j)+ A Z BZ (k . k ) ⃗ .⃗ => A B=A X B X + A Y B Y + A Z B Z where, (b) i. i= j. j=k . k=1 ⃗ C ⃗ is the sum of two vectors . That means the addition of the magnitudes of vectors in the B+ same direction. ⃗ C ⃗ = (B i+ B j+ B k )+(C i+C j+C k ) = (B +C )i+( B +C ) j+( B +C ) k B+ X Y z X Y z X X Y Y Z Z (c) ⃗ C ⃗ C× is a cross product. A cross product results in a vector that has a direction that is perpendicular to both vectors and a magnitude that is equal to the parallelogram with side lengths equal to the magnitudes of the two vectors and a skew equal to the angle between the vectors. ⃗ C=(C ⃗ C× X i+C Y j+C z k )×(C X i +C Y j +C z k ) i j k ⃗ C=i(C ⃗ => C× Y C Z −C Y C Z )− j(C X C Z −C X C Z )+k (C X C Y −C X C Y ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

### Review

Anonymous
I was stuck on this subject and a friend recommended Studypool. I'm so glad I checked it out!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4