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11. Find the direction angle of 3i+ j. b. 198.430 d. 18.43° a. 25.990 c. 108.43°...
18) If u = (-2,-6 3) and = - 3i-j , then the direction angle of...
18) If u = (-2,-6 3) and = - 3i-j , then the direction angle of the vector w = 4 - 3 7 is equal to: A) 300 D) E) 210 45°
Two vectors are given by A-3i+ 6 j and B-11-25 (a) Find A × B. (b)...
Two vectors are given by A-3i+ 6 j and B-11-25 (a) Find A × B. (b) Find the angle between A and B
how to do number 16 16) (6pts) Find the projection of ü onto w. a) Find ui --Son 347 2 25 26 b) Find 펄 orthogon...
how to do number 16
16) (6pts) Find the projection of ü onto w. a) Find ui --Son 347 2 25 26 b) Find 펄 orthogonal to in such that iiitül ü 2 Page Score Check ( 13 For problems on this page, use the vectors described graphically here. Your work should include correct vector notation of u, i,and w 13) What is (w+u) v E xplat 3 U=(2、1) w (3, .. 4) 14) Find the cxact magnitudes of i,...
Part c and d Question 5 (30 marks) Let A1, B(3,-5,0) and C(-1,4,1) be three points...
Part c and d
Question 5 (30 marks) Let A1, B(3,-5,0) and C(-1,4,1) be three points in R. Use vector method(s) to solve each of the following. R-8 (a) Find the unit vector u in the direction of AB-3AC. (b) Calculate the smaller angle betwen AB and AC. Correct the answer to ONE decimal place. (c) Find the shortest distance between B and the line passing through A and C. Correct the answer to ONE decimal place. (Hint: Consider the...
Given vectors u and v, find (a) 7u (b) 7u+6v (c) v-hu. u=9i, v = 3i...
Given vectors u and v, find (a) 7u (b) 7u+6v (c) v-hu. u=9i, v = 3i + 6j (a) 7u= (Type your answer in terms of i and J.) (b) 7u + 6 = (Type your answer in terms of i and j.) (c) v-6u = (Type your answer in terms of i and j.) Use the figure to evaluate a+b, a-b, and -a.
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)...
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through an angle of 90 in the clockwise direction C. Projection onto the y-axis D. Reflection in...
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through an angle of 90 in the clockwise direction C. Projection onto the y-axis D. Reflection in the y-axis E. Rotation through an angle of 90° in the counterclockwise direction -1 0 0.5 0 0 0.5 0 -1 F. Reflection in the r-axis 0 -1
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through...
(11). Let u = and v = Then (uvT)100 = 2 and b= then ||a +...
(11). Let u = and v = Then (uvT)100 = 2 and b= then ||a + b = (12). Let a = (13). If a b с d e f hij = 5. Then с a b d+ 3h e +3i f +3j -h - -j. 1 (14). Let A= ( 1 1 -1 - 1 :) then dimension of the null space of A is (15). If 221 +22 = 1 *1 + 1.x2 = -2 has infinite many...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
Takehome Question Direction Angle -2) and B = (4,-3) Find the direction angle for 5A-4B where...
Takehome Question Direction Angle
-2) and B = (4,-3) Find the direction angle for 5A-4B where A 12. d. 319.2 b. 40.8° С. 84° a. 6°
18) If u = (-2,-6 3) and = - 3i-j , then the direction angle of the vector w = 4 - 3 7 is equal to: A) 300 D) E) 210 45°
Two vectors are given by A-3i+ 6 j and B-11-25 (a) Find A × B. (b) Find the angle between A and B
how to do number 16
16) (6pts) Find the projection of ü onto w. a) Find ui --Son 347 2 25 26 b) Find 펄 orthogonal to in such that iiitül ü 2 Page Score Check ( 13 For problems on this page, use the vectors described graphically here. Your work should include correct vector notation of u, i,and w 13) What is (w+u) v E xplat 3 U=(2、1) w (3, .. 4) 14) Find the cxact magnitudes of i,...
Part c and d
Question 5 (30 marks) Let A1, B(3,-5,0) and C(-1,4,1) be three points in R. Use vector method(s) to solve each of the following. R-8 (a) Find the unit vector u in the direction of AB-3AC. (b) Calculate the smaller angle betwen AB and AC. Correct the answer to ONE decimal place. (c) Find the shortest distance between B and the line passing through A and C. Correct the answer to ONE decimal place. (Hint: Consider the...
Given vectors u and v, find (a) 7u (b) 7u+6v (c) v-hu. u=9i, v = 3i + 6j (a) 7u= (Type your answer in terms of i and J.) (b) 7u + 6 = (Type your answer in terms of i and j.) (c) v-6u = (Type your answer in terms of i and j.) Use the figure to evaluate a+b, a-b, and -a.
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through an angle of 90 in the clockwise direction C. Projection onto the y-axis D. Reflection in the y-axis E. Rotation through an angle of 90° in the counterclockwise direction -1 0 0.5 0 0 0.5 0 -1 F. Reflection in the r-axis 0 -1
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through...
(11). Let u = and v = Then (uvT)100 = 2 and b= then ||a + b = (12). Let a = (13). If a b с d e f hij = 5. Then с a b d+ 3h e +3i f +3j -h - -j. 1 (14). Let A= ( 1 1 -1 - 1 :) then dimension of the null space of A is (15). If 221 +22 = 1 *1 + 1.x2 = -2 has infinite many...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
Takehome Question Direction Angle
-2) and B = (4,-3) Find the direction angle for 5A-4B where A 12. d. 319.2 b. 40.8° С. 84° a. 6°
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