Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. • Write a vector in component form describing Zha's bike ride. • Find the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answer both wayS

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°).

A:

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

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: A child throws a ball with a speed of 8 feet per second at an angle of 27 degrees with the…

A: Given a ball thrown at an angle of 27° with horizontal at a speed of 8 feet per second.  To find the…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A:

Q: Sketch the vector v = -6i - 2j as a position vector and find its magnitude.

A:

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Find a unit vector in the same direction as a= -5 i  -7 j

A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: Find the magnitude of the vector (-4, 2). Write your answer in simplified radical form.

A: Magnitude of a vector means length of the vector. Let A= <a, b> be a vector then formula for…

Q: Find the magnitude of the vector (4, –2). Write your answer in simplified radical form.

A:

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Vector a is expressed in magnitude and direction form as a = (V30, 110°). What is the component form…

A:

Q: ind a unit vector that has the same direction as the vector –3ỉ + 7j.

A:

Q: Write the vector v in terms of i and j whose magnitude||v||= 12 and direction angle θ= 225°.

A:

Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

Q: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

A: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

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: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

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: Find the unit vector in the same direction as v = 2i - 3j -6k

A: Given vector is v=2i-3j-6k. To find the unit vector in the same direction of the given vector.…

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

A:

Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Name the vector and write its component form. 13. 14.

A:

Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

A:

Q: A child pulls a sled along level ground by exerting a force of 30 pounds on a handle that makes an…

A: Given that: The magnitude of v is 30 pounds Angle( θ ) = 45°

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

A:

Q: What is the vector shown in component form? Enter your answer by filing in the boxes.

A: Consider the vector

Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the horizontal component of the vector if |V|= 4 and theta =50°

A: given |V|= 4 θ=50° horizontal component =|V|×Cosθ

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: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: magnitude of the vector:

A:

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

Q: b) How do you tell if two vectors are perpendicular?

A:

Q: the magnitude and direction of this vector.

A:

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

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

A:

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

A:

Q: Try plotting Three Vectors and show the Resultant Vector as a result. Use Head to Tail Method.

A:

Q: Find the unit vector that has the same direction as the vector v = 3i - 4j.

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

Q: Rotate the vector (3,-2) 90° clockwise about the origin. {[ ? ],[ ]} Enter

A:

Q: Vector a is expressed in magnitude and direction form as a = (/26,140°). What is the component form…

A:

Q: Find a unit vector in the same direction as the vector : a = 8i − 6j

A:

Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

A: Let u be the vector representing the speed of the plane and v be the vector representing the speed…

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…