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209 Answered Questions for the topic Vectors

08/30/17

Linear Algebra Question

the vector [-14,-7,19] is a linear combination of vectors [-3,-3,-3] and [10,9,-10] if and only if the matrix equation Ax = b has a solution x where     A = [?  ?]    and b = [?]       [?  ?]  ... more

08/27/17

Find the vector(s) v satisfying the given conditions. u={5,4}, u*v=2, |v|^2=13

The answer needs to be simplified and written in the form of ai+bj. 
Vectors Math Calculus

08/26/17

Calculus III Question

A weight of 100 pounds is suspended by two ropes A and B. Rope A makes an angle of 30 degrees with the ceiling and rope B makes an angle of 45 degrees with the ceiling. What are the magnitudes of... more

06/29/17

Are linearly dependent vectors always coplanar?

If not, when would linear dependency imply coplanarity?
Vectors

05/18/17

This is in my Vectors lesson

A balloon is flying at a constant speed of 20 mi / h at a bearing of N 36° E. There is a 10 mi / h crosswind blowing due east. What are the balloon's actual speed and direction? Round angles to the... more
Vectors

05/14/17

if a=i+2j+3k, b= -i+k , c= j+k and d= -2i+j+k, then d equals

if a=i+2j+3k, b= -i+k , c= j+k and d= -2i+j+k, then d equals..   A.a+3b-c B.-2a+c C.-3a-b+5c D.-a+b+3c E.5a-7b-9c
Vectors

05/07/17

given vector u=<1,1> and vecotr v=<2,-1>, express vector w=<-2,0> in terms of vectors u and v

 can't seem to find the equation that works so i need help for my college algebra class on expressing vectors from the ones given
Vectors Linear Algebra

04/14/17

Find an equation for the plane that passes through (2,4,-1) and contains the line of intersection of the planes x-y-4z=2 and -2x+y+2z=3

I have no idea what Im doing wrong but I keep getting the wrong answer. What I did first was find two points. So I set z=0 and x=0 . Then I created two vectors and did the cross product for ABxAC... more
Vectors

04/13/17

Find component form of v given its magnitude and the angle it makes with the positive axis

||v||=6  the angle = 45 degrees 
Vectors

04/05/17

A plane is taking off with a velocity of 345 m/s making an angle of elevation of 48 degrees with the horizontal.

A plane is taking off with a velocity of 345 m/s making an angle of elevation of 48 degrees with the horizontal. Find the components of the planes magnitude. How fast is the plane going up... more
Vectors

03/26/17

Given the points A(2,-1,4) B(-1,0,3) , find a unit vector parallel to AB ?

Given the points A(2,-1,4) B(-1,0,3) ,   a) find a unit vector parallel to AB ? b)find a vector parallel to AB and oppositely directed to AB with a length of 4.    I dont understand what to do.

03/23/17

Using vectors, find displacement.

The hour hand of a world famous clock is 2.74M long while the minute hand is 4.2M long. Determine the displacement from the tip of the hour hand at -12.30 and 13.17 Calculate distance travelled... more
Vectors Physics

03/22/17

How do you solve this physics problem?

An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 75 km 30.0° west of north, and the second is 155 km 60.0° east of north. What is the total... more
Vectors Physics

03/22/17

How to solve physics problem

A plane travels 2.5 km at an angle of 35° to the ground and then changes direction and travels 5.2 km at an angle of 22° to the ground. What is the magnitude and direction of the plane’s total... more
Vectors

03/09/17

there are two vectors say vector A and vector B. Then what is vector AB?

there are two vectors say vector A and vector B. Then what is vector AB? Is it (A-B) or (B-A)?

03/08/17

Determine the angle between vectors p and q if (p-3q) is perpendicular to (3p+2q) and |p|=2|q|.

I would like some help on just how to solve these kind of problems as I am stuck on it.
Vectors Physics

12/07/16

In what direction should the plane head to reach its destination and how long will it take to get there?

An airplane has to fly eastward to a destination 856 km away. If wind is blowing at 18 m/s northward and the air speed of the plane is 161 m/s, in what direction should the plane head to reach its... more

12/07/16

Find the resultant of the vectors A, B, and C

Vector A has magnitude 58 units and is inclined to the positive axis of x at 42 degrees. Vector B has magnitude 36 units and is inclined to the positive axis of x at 121 degrees. Vector C has... more
Vectors Physics Distance

11/27/16

Determine how far a ball of 2kg will travel if thrown at 45 degrees from rest at 5m/s

I need to know the distance the ball will travel for a special work for physics class and just to learn in general.
Vectors

11/24/16

v = −i+2j+k, w = −3i+6j+3k Find the angle θ between the vectors v and w

v = −i+2j+k, w = −3i+6j+3k Find the angle θ between the vectors v and w
Vectors

11/24/16

v = (4,2,−1), w = (8,4,−2) Find the angle θ between the vectors v and w

v = (4,2,−1), w = (8,4,−2) Find the angle θ between the vectors v and w

10/08/16

Vector Functions and Space Curves PLEASE HELP!

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more
Vectors Math Calculus

10/03/16

12.5: Equations of Lines and Planes

Find an equation of the plane.The plane through the point (7, −8, −4) and parallel to the plane 9x − y − z = 1
Vectors Calculus Physics

09/30/16

Vectors - Calculus 3

A clothesline is tied between two poles, 6 m apart. The line is quite taut and has negligible sag. When a wet shirt with a weight of 0.6 kg is hung at the middle of the line, the midpoint is pulled... more

09/29/16

VECTORS!? PLEASE HELP!

A clothesline is tied between two poles, 10m apart. The line is quite taut and has negligible sag. When a wet shirt with a weight of 0.8 kg is hung at the middle of the line, the midpoint is pulled... more
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