Question

3. (a) (5 points) Compute the dot product of u = <8, -2, 3> and v = <-5, -9, 3> and find the angle between the two vectors. Round to the nearest tenth of a degree. (b) (6 points) For the vectors u = <-5, -3, 7> and v = <-6, 3, -12>, calculate proj_v u and scal_v u .

          3. (a) (5 points) Compute the dot product of u = <8, -2, 3> and v = <-5, -9, 3> and find the angle between the two vectors. Round to the nearest tenth of a degree.
(b) (6 points) For the vectors u = <-5, -3, 7> and v = <-6, 3, -12>, calculate proj_v u and scal_v u .

3. (a) (5 points) Compute the dot product of u = <8, -2, 3> and v = <-5, -9, 3> and find the angle between the two vectors. Round to the nearest tenth of a degree.
(b) (6 points) For the vectors u = <-5, -3, 7> and v = <-6, 3, -12>, calculate projv u and scalv u .

Added by Harry Q.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/04/2023

Step 1

The dot product of two vectors u = (u1, u2, u3) and v = (v1, v2, v3) is given by the formula: u · v = u1v1 + u2v2 + u3v3 For u = (8, 2, 3) and v = (-5, -9, 3), we have: u · v = (8)(-5) + (2)(-9) + (3)(3) = -40 - 18 + 9 = -49 So, the dot product of u and v Show more…

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(a) (5 points) Compute the dot product of u = (8,-2,3) and v = (-5,-9,3) and find the angle between the two vectors. Round to the nearest tenth of a degree. (b) (6 points) For the vectors u = (-5,-3,7) and v = (-6,3,-12), calculate proj_v u and scal_v u.