Find a unit vector in the direction of A unit vector in the direction of the given vector is (Type an exact answer, using radicals as needed.) Find a unit vector in the direction of A unit vector in the direction of the given vector is (Type an exact answer, using radicals as needed.)
please answer all qustion on expination needed 1 Find a vector of magnitude 3 in the direction of v=5 i - 12 k The vector is i+i+k (Simplify your answer. Use integers or fractions for any numbers in the expression) 2 Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations x2 + y2 +(2+152 = 169, z= - 3 Choose the correct description O A. The line through (5,0. -...
Find the directions in the xy-plane in which the function fixy) 15-2x2 -y2 has zero change at the point P(2,1,3) Express the directions in terms of unit vectors What is the unt vector in a direction of zero change with a positive x-component? Type exact answers, using radicals as needed.) What is the other unit vector in a direction of zero change? (Type exact anowers, using radicals as needed.) cess Ubrary Enter your answer in each of the answer boxes...
26. For the function f(x,y) = 4y2 + 3x², find f(3. - 4), (-4,4), f(-1,-2), and f(0,7). f(3,-4)= (Type an exact answer, using radicals as needed.) f(-4,4)= (Type an exact answer, using radicals as needed.) f(-1, - 2) = (Type an exact answer, using radicals as needed.) f(0.7) = (Type an exact answer, using radicals as needed.)
Find a unit vector u with the same direction as the given vector v. Use the square root symbol 'V' where needed to give an exact value for your answer. v=
Find an equation of the plane tangent to the following surface at the given point. yz e XZ - 21 = 0; (0,7,3) An equation of the tangent plane at (0,7,3) is = 0. Find the critical points of the following function. Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the...
12.3.3 Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 2ti + () 'k, Osts5 The curve's unit tangent vector is (i + (O; + (Ok. (Type exact answers, using radicals as needed.)
Let Q(x)- 355x35x3 -40x,*2 20x,X3+40x2X3 Find a unit vector x in R3 at which Q(x) is maximized, subject to x x-1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 45 and 15.] A unit vector that maximizes Q(x) is u Type an exact answer, using radicals as needed.)
-28 Find a unit vector in the direction of the vector 21 A unit vector in the direction of the given vector is (Type integers or simplified fractions.)
For the following parameterized curve, find the unit tangent vector. r(t) = (e 21,2 e 21, 2 e -8t), for t20 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. T(t) = (Type exact answers, using radicals as needed.) O B. Since r' (t) = 0, there is no tangent vector.