Homework Answers
Add Answer to:
11. (8 marks) Given the vector ū = (3,-2, -5) (a) Find the unit vector with...
Find a unit vector in the direction ū if ū is the vector from P(2,1, -3)...
Find a unit vector in the direction ū if ū is the vector from P(2,1, -3) to ((-1,0,4). Then, find c such that vector PR is orthogonal to ū where Ręc, c,c).
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a...
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a unit vector in the opposite direction to ū. c) Find (ü.v)v. d) Find 11: e) Find the distance between ū and v. f) Are ū and y parallel, perpendicular, or neither? Explain. g) Verify the Triangle Inequality for ū and ū.
2. Let ū= (3,1, -7), ã = (1,0,5). (a) Find the vector component of u along...
2. Let ū= (3,1, -7), ã = (1,0,5). (a) Find the vector component of u along a. (b) Find the vector component of ü orthogonal to ä. (c) Find the angle between u and , in degrees.
3. If ū= 4.2,1 and ū= -2.2.1), find a vector in R3 that is orthogonal to...
3. If ū= 4.2,1 and ū= -2.2.1), find a vector in R3 that is orthogonal to both ū and . Answer: 4. Let A, B and C respectively denote the points (1,1,2), (-3, 2, 1) and (4, -2, -1). Find AB, AC and AB X AC. Answer: AB= AC = 1. AB X AC = 5. (a) Find the equation of the plane containing the points A, B and C above. Answer: (b) Check that your answer to (a) above...
Find a vector ū with |||| = 2758 that has the opposite direction to ū= -31...
Find a vector ū with |||| = 2758 that has the opposite direction to ū= -31 + -77. u=() a= (14)
8. If ū= 8î - 159 and v = -3i - 4ſ and w = 12...
8. If ū= 8î - 159 and v = -3i - 4ſ and w = 12 + 69, then find the following: A. 2w - 3ū B. ||2u - 57 C. v. W D. the angle between ü and v E. the direction angle of vector w F. (3 +70).ü G. a vector in the same direction as ū with magnitude of 12 H. a vector orthogonal to vector v with magnitude of 7 I. any vector that is orthogonal...
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the ...
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change of at P in that direction.
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change...
13 2. Find a vector i of length 3 in the direction of a = [1,2,3]....
13 2. Find a vector i of length 3 in the direction of a = [1,2,3]. 3. Consider the vectors th=[k, 2, -11) and (a) ū and are perpendicular. [3] (8.k, 1). Find the possible values of k such that: (b) u and ū are parallel. Sand ğ vectors in Rº such that P+q1l = 2 and P-911 = 3. Find p.7.
-4 -2 -5 (1 point) Find the orthogonal projection of ū onto the subspace W spanned...
-4 -2 -5 (1 point) Find the orthogonal projection of ū onto the subspace W spanned by -26 11 -35 -3 -3 2 3 -219 -806 projw(Ū) = -17 -950
006 10.0 points Find the vector ✓ with magnitude 3 and the same direction as ū=...
006 10.0 points Find the vector ✓ with magnitude 3 and the same direction as ū= (4, -4). 1. (3,-3) wios 12' 2) 4. None of these
Find a unit vector in the direction ū if ū is the vector from P(2,1, -3) to ((-1,0,4). Then, find c such that vector PR is orthogonal to ū where Ręc, c,c).
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a unit vector in the opposite direction to ū. c) Find (ü.v)v. d) Find 11: e) Find the distance between ū and v. f) Are ū and y parallel, perpendicular, or neither? Explain. g) Verify the Triangle Inequality for ū and ū.
2. Let ū= (3,1, -7), ã = (1,0,5). (a) Find the vector component of u along a. (b) Find the vector component of ü orthogonal to ä. (c) Find the angle between u and , in degrees.
3. If ū= 4.2,1 and ū= -2.2.1), find a vector in R3 that is orthogonal to both ū and . Answer: 4. Let A, B and C respectively denote the points (1,1,2), (-3, 2, 1) and (4, -2, -1). Find AB, AC and AB X AC. Answer: AB= AC = 1. AB X AC = 5. (a) Find the equation of the plane containing the points A, B and C above. Answer: (b) Check that your answer to (a) above...
Find a vector ū with |||| = 2758 that has the opposite direction to ū= -31 + -77. u=() a= (14)
8. If ū= 8î - 159 and v = -3i - 4ſ and w = 12 + 69, then find the following: A. 2w - 3ū B. ||2u - 57 C. v. W D. the angle between ü and v E. the direction angle of vector w F. (3 +70).ü G. a vector in the same direction as ū with magnitude of 12 H. a vector orthogonal to vector v with magnitude of 7 I. any vector that is orthogonal...
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change of at P in that direction.
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change...
13 2. Find a vector i of length 3 in the direction of a = [1,2,3]. 3. Consider the vectors th=[k, 2, -11) and (a) ū and are perpendicular. [3] (8.k, 1). Find the possible values of k such that: (b) u and ū are parallel. Sand ğ vectors in Rº such that P+q1l = 2 and P-911 = 3. Find p.7.
-4 -2 -5 (1 point) Find the orthogonal projection of ū onto the subspace W spanned by -26 11 -35 -3 -3 2 3 -219 -806 projw(Ū) = -17 -950
006 10.0 points Find the vector ✓ with magnitude 3 and the same direction as ū= (4, -4). 1. (3,-3) wios 12' 2) 4. None of these
Most questions answered within 3 hours.
-
A speeding car is traveling along a straight road with a
constant speed of 100 km/hour....
asked 13 minutes ago -
When 60.1 gg of calcium is reacted with nitrogen gas, 31.7 gg of
calcium nitride is...
asked 18 minutes ago -
The random variable X is exponentially distributed, where X
represents the time it takes for a...
asked 33 minutes ago -
a) Write a verilog module for 1:4 Demultiplexer using verilog
primitives.
b) Design 1-to-4 DEMUX using...
asked 28 minutes ago -
MATLAB
write a MATLAB function (1) output a third-order polynomial
function with the coefficients as the...
asked 40 minutes ago -
A z-score
communicates a raw score’s "relative standing"
under the normal curve in relation to:
asked 49 minutes ago -
An object is vibrating on a spring with the following equation
of motion:
?=(30 ??)cos((2?)/(160)?)
a)...
asked 48 minutes ago -
Vulcan Flyovers offers scenic overflights of Mount St. Helens,
the volcano in Washington State that explosively...
asked 51 minutes ago -
If organizations do not adapt fast enough and move incrementally
from the twentieth-century model to the...
asked 52 minutes ago -
A helium balloon with 2.5L of gas has a gauge pressure of 10,000
Pa. The balloon...
asked 56 minutes ago -
What is responsible for Jupiter's enormous magnetic field?
asked 1 hour ago -
At the end of the year, a company offered to buy 5,000 units of
a product...
asked 1 hour ago