a. v•u, v, |u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj, u. 1. v = 2i – 4j + V5k, u = -2i + 4j – V5k 2. v = (3/5)i + (4/5)k, u = 5i + 12j %3D 3. v = 10i + 11j – 2k, u = 3j + 4k 4. v = 2i + 10j – 11k, u = 2i + 2j + k 5. v = 5j – 3k, u = i +j + k u = V2i + V3j + 2k %3| %3D 7. v = 5i + j, u = 2i + V17j 1 1 1 8. v = u = V2' V2" V3

a. v•u, v, |u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj, u. 1. v = 2i – 4j + V5k, u = -2i + 4j – V5k 2. v = (3/5)i + (4/5)k, u = 5i + 12j %3D 3. v = 10i + 11j – 2k, u = 3j + 4k 4. v = 2i + 10j – 11k, u = 2i + 2j + k 5. v = 5j – 3k, u = i +j + k u = V2i + V3j + 2k %3| %3D 7. v = 5i + j, u = 2i + V17j 1 1 1 8. v = u = V2' V2" V3

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

See similar textbooks

Similar questions

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
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
For the vector v=(2,1), sketch a 2v, b 3v, and c 12v.
Find a unit vector u in the direction of v=i+j