9. [6 pts) Find a vector of length 15 in the opposite direction of the vector...
1) Find a vector of magnitude 9 in the direction opposite to the direction of 8 = și + -
(1) The displacement vector A las a length La and a direction east of north; the displacement vector B has a length Le and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector A x B in terms of the unit vectors i, j, and k. [15 pts] (2) A boat with a maximum speed v (relative to the water) is on one shore of a...
DETAILS LARLINALG8 5.R.013. Consider the vector v = (2, 2, 6). Find u such that the following is true. (a) The vector u has the same direction as v and one-half its length. (b) The vector u has the direction opposite that of v and one-fourth its length. u (c) The vector u has the direction opposite that of v and twice its length. U=
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...
Find a vector ū with |||| = 2758 that has the opposite direction to ū= -31 + -77. u=() a= (14)
This Question: 6 pts Express the vector 4j as a product of its length and direction. 4=i+i+k (Simplify your answers. Use integers or fractions for any numbers in the expression.) Enter your answer in each of the answer boxes. Type here to search
Consider the vector v = (14, 14, 4). Find u such that the following is true. he vector u has the same direction as v and one-half its length. u = (b) The vector u has the direction opposite that of v and one-fourth its length. U = (c) The vector u has the direction opposite that of v and twice its length. U =
Question 17 Find the vector v with length 3 and the same direction as the vector u =(-1,6,5). •-( tas var - to vote --( tez le ton) Question 18 Find the angle in radians between the vectors u = (0,6, 0,6) and v- (3,5,6,3). Round your answers to three decimal places 1.224 radians 1.003 radians 0.297 radians 0.995 radians 0.881 radians
(1) The displacement vector A as a length LA and a direction θ east of north; the displacement vector B has a length Ls and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector Ax B in terms of the unit vectors i, j, and k. [15 pts]
6 [15 total For the two vectors given find the information requested. u = 21 -5 - V =- I +6- 4k a U + V Answer b. the angle between u and v Answer a unit vector in the opposite direction as u Answer d. VxU Answer