Consider the following. u = 6i – j - k, v = -i + 5j + 3k | (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.

For the vector v=(2,0,1), sketch (a) v, (b) 2v and (c) 12v.

For the vector v=(1,2,2), sketch (a) 2v, (b) v and (c) 12v.

Business The vector u=1225,2445 gives the numbers of hours worked by employees of a temporary work agency at two pay levels. The vector v=12.20,8.50 gives the hourly wage (in dollars) paid at each level, respectively. (a) Find the dot product uv and interpret the result in the context of the problem. (b) Identify the vector operation used to increase wages by 2

Which pair of vectors are perpendicular? a. 3i+4j and 8i6j b. 3i+2j and 2i+3j c. i+5j and i5j d. 2i5j and 7i3j