{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

math125-lecture 5.1

# math125-lecture 5.1 - Let u = u 1 u 2 u n and v = v 1 v 2 v...

This preview shows pages 1–7. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Let u = ( u 1 , u 2 , ..., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n → → → → → → Sec 5.1 Saturday, February 06, 2010 11:13 PM Section5dot1 Page 1 Let u = ( u 1 , u 2 , ..., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n Also called the scalar product or the inner product of vectors. → → → → → → 5.1.1 Saturday, February 06, 2010 11:13 PM Section5dot1 Page 2 Let u = ( u 1 , u 2 , ..., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n Also called the scalar product or the inner product of vectors. → → → → → → u • v = 5 x 3 + 3 x 1 + 1 x (-1) = 15 + 3 - 1 = 17 → → 5.1.2 Saturday, February 06, 2010 11:13 PM Section5dot1 Page 3 Let u = ( u 1 , u 2 , . . ., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n Also called the scalar product or the inner product of vectors. → → → → → → u • v = 5 x 3 + 3 x 1 + 1 x (-1) = 15 + 3 - 1 = 17 → → u • v = 2 x (-4) + 3 x (-6) + (-1) x 2 + 4 x 7 = - 8 - 18 - 2 + 28 = 0 → → 5.1.3 Saturday, February 06, 2010 11:13 PM Section5dot1 Page 4 Let u = ( u 1 , u 2 , . . ., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n Also called the scalar product or the inner product of vectors. → → → → → → u • v = 5 x 3 + 3 x 1 + 1 x (-1) = 15 + 3 - 1 = 17 → → u • v = 2 x (-4) + 3 x (-6) + (-1) x 2 + 4 x 7 = - 8 - 18 - 2 + 28 = 0 → → u • u = 5 x 5 + 3 x 4 + 1 x 1 = 5 2 + 3 2 + 1 2 = 25 + 9 + 1 = 35 → → * 5.1.4 Saturday, February 06, 2010 11:13 PM Section5dot1 Page 5 Let u = ( u 1 , u 2 , . . ., u n ) and v = ( v 1 , v 2 , ..., v n ) be vectors in R n . The dot product. u • v is defined to be: u • v = u 1 v 1 + u 2 v 2 + . . . + u n v n Also called the scalar product or the inner product of vectors. → → → → → → u • v = 5 x 3 + 3 x 1 + 1 x (-1) = 15 + 3 - 1 = 17 → → u • v = 2 x (-4) + 3 x (-6) + (-1) x 2 + 4 x 7 = - 8 - 18 - 2 + 28 = 0 → → u • u = 5 x 5 + 3 x 4 + 1 x 1 = 5 2 + 3 2 + 1 2 = 25 + 9 + 1 = 35 → → * | u | = u 1 2 + u 2 2 + u 3 2 = 5 2 + 3 2 + 1 2 = 35 √ √ √...
View Full Document

{[ snackBarMessage ]}

### Page1 / 23

math125-lecture 5.1 - Let u = u 1 u 2 u n and v = v 1 v 2 v...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online