Questions from General Calculus

Q: Find two unit vectors that make an angle of 608 with v

Find two unit vectors that make an angle of 608 with v = 3, 4 .

Q: Find a ∙ b. a = 1.5

Find a ∙ b. a = 1.5, 0.4 , b = −4, 6

Q: What is the angle between the given vector and the positive direction

What is the angle between the given vector and the positive direction of the x-axis? 8i + 6j

Q: Find the acute angles between the curves at their points of intersection

Find the acute angles between the curves at their points of intersection. (The angle between two curves is the angle between their tangent lines at the point of intersection.) y = x2, y = x3

Q: Find the direction cosines and direction angles of the vector. (

Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) 1 2 i + j + k

Q: Find the scalar and vector projections of b onto a.

Find the scalar and vector projections of b onto a. a = −5, 12 , b = 4, 6

Q: Find a ∙ b. a = 6, −

Find a ∙ b. a = 6, −2, 3 , b = 2, 5, −1

Q: Find the scalar and vector projections of b onto a.

Find the scalar and vector projections of b onto a. a = 1, 4 , b = 2, 3

Q: Find the scalar and vector projections of b onto a.

Find the scalar and vector projections of b onto a. a = 4, 7, −4 , b = 3, −1, 1

Q: Find the scalar and vector projections of b onto a.

Find the scalar and vector projections of b onto a. a = −1, 4, 8 , b = 12, 1, 2