How do you find a vector's magnitude and direction?

Q: What is a position vector? How is a position vector represented using i and j?

A: The position vector is a vector whose initial point is origin and and the terminal point is any…

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A:

Q: A balloon floats 18.5 kilometers east and then 24.6 kilometers north. What is the angle of the…

A:

Q: Sketch vector v = -i - j as a position vector and find its magnitude.

A: Given vector is  v=-i-j

Q: The horizontal vector component of an aircraft's takeoff velocity is 218.7 km/h, while the vertical…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: what is the magnitude of the vector

A:

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: Record the magnitude and angle of the vector sum.

A: Concept - first find the sum of x direction components and you direction components.

Q: What is the unit vector in the direction of v = ?

A:

Q: 9. Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Formula: The unit vector in the same direction of a vector v→ is given by, v^=v→v Given: p, q, r To…

Q: How do you find the exact bearing in degrees of an angle formed from one object from another in a…

A: Show that: How do you find the exact bearing in degrees of an angle formed from one object from…

Q: Find the vector v of magnitude 8 in the direction ⟨6, −3, 2⟩.

A: Given: The magnitude of vector v is  Let the vector u be:

Q: What’s the difference between a ray and a vector?

A: The vector has finite magnitude and direction, while the ray has direction  and starting point and…

Q: What is the difference between a vector and a scalar?

A:

Q: Find the magnitude of the projection of onto the vector

A:

Q: How do you find the vector from one point to another?

A: The vector from one point to other is the difference between similar coordinates of two points.

Q: A vector with magnitude 8 points in a direction 280 degrees counterclockwise from the positive x…

A:

Q: Find the magnitude & direction angle of the vector (-1,2).

A: We can solve this as follows:

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels…

A: please see the next step for solution

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

Q: A vector with magnitude 8 points in a direction 340 degrees counterclockwise from the positive x…

A: Given vector with magnitude 8 points in a direction 340 degrees counterclockwise from the positive…

Q: magnitude of the vector:

A:

Q: A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boat's resultant…

A: Given :

Q: (a) How do you tell if two vectors are parallel?

A:

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: A velocity vector of variable magnitude cannot have a constant direction.

Q: True or False A vector in space may be described by specifying its magnitude and its direction…

A: Answer: True.

Q: How are vectors added and subtracted geometrically? Algebraically?

A: Vector Addition Geometrically:

Q: A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming…

A: It is given that, a river flows due south at 3 mi/h. A swimmer attempting to cross the river heads…

Q: Find a vector in the same direction as (-5, 2, –3) with magnitude 6.

A: In this question , firstly we can find the unit vector of the given vector and after that we can…

Q: Find the components of the vector shown above. Vector =

A: From the Figure note that, the tail of the vector has coordinates -3,-4 and head has coordinates…

Q: Define the vector?

A: we have to define the vector.

Q: [2, 0]. Find the unit vector in the same direction as the vector u

A: Given,          The unit vector in the same direction as the vector u=2,0.We know that,          The…

Q: Find a unit vector in the direction of

A: Let us consider the given vector as,

Q: A bullet is fired into the air with an initial velocity of 1250 feet per second at an angle of 60°…

A:

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: How do you find a vector perpendicular to a plane?

A:

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

A:

Q: A truck is traveling due north at 55 km/hr approaching a crossroad. On a perpendicular road a police…

A:

Q: find the component form of the vector. The vector obtained by rotating <0, 1> through an angle…

A: Find the component form of the vector. The vector obtained by rotating <0, 1> through an angle…

Q: What is a unit vector in the direction of u

A: Given,u= 40-3-12First calculate magnitude of u;So,  u=42+02+-32+-122                 =16+9+144…

Q: A bullet is fired into the air with an initial velocity of 1,900 feet per second at an angle of 58°…

A: given that a bullet is fired into the air with an initial velocity of 1900  feet per second at an…

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: find the component form of the vector. The vector from the point A = (2, 3) to the origin.

A: Find the component form of the vector. The vector from the point A = (2, 3) to the origin.

Q: A vector has an x-component of −26.0 units and a y-component of 45.0 units. Find the magnitude and…

A: Explanation of the solution is given below..

Q: What is a position vector?

A: What is a position vector?

Q: Explain Properties of Vector Operations?

A: Query- Explain Properties of Vector Operations. Answer- There are two things required to defne a…

Q: Rotate the vector (-3,5) 270° counter-clockwise about the origin. {[ ? ],[ ])

A: When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes…