{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

05Scalar Product and Angles Between Lines

# 05Scalar Product and Angles Between Lines - SCALAR PRODUCT...

This preview shows pages 1–2. Sign up to view the full content.

S CALAR P RODUCT AND A NGLES B ETWEEN V ECTORS The scalar product (dot product) of two vectors is: θ cos b a b a = where θ is the angle between the two vectors if they are drawn from the same point. The angle may be acute, right, or obtuse. The result of a scalar (dot) product is a scalar quantity. The scalar product is most often used to find the angle between two vectors – therefore the equation can be rewritten as: b a b a = θ cos To find the product b a , assume that = 2 1 a a a and = 2 1 b b b . Then the scalar product is 2 2 1 1 b a b a + . (Note that this is like multiplying matrices). The scalar product for vectors in three or more dimensions is similar. Ex . Find the magnitudes and scalar products for each pair of vectors. Hence, find the angle between each pair of vectors. a) j i 3 + - and j i 2 + - b) - 4 5 0 and - - - 3 1 5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
If two vectors are perpendicular, what should the scalar product be equal to? If two vectors are parallel, what should the scalar product be equal to?
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern