Two soccer players are practicing for an upcoming game. One of them runs 10m from point A to point B. She then turns left at 90 degrees and runs 10m until she reaches point C. Then she kicks the ball with a speed of 10 m/s at an upward angle of 30 degrees to her teammate, who is located at point A. Write the initial velocity vector of the ball in component form, explicitly describing the basis vectors you are using.

Q: Find the two unit vectors orthogonal to both a = (3, 1, 1) andb = (−1, 2, 1).

A: Given: a=3,1,1 and b=-1,2,1

Q: Construct the vector 0.8 b+1.4 a having initial point P.

A:

Q: Calculate the x and y components of the vector given below. Do not round any intermediate…

A: here length of the vector is r=12 and the given angle is θ=31

Q: If a vector gets multiplied by a positive number, its direction will be *.reversed FO TO

A:

Q: Find two linearly independent vectors perpendicular to the vector 1 3

A:

Q: 1 Y

A:

Q: Are the following vectors linearly independent? Yes No , ,,

A:

Q: Find a non-zero vector perpendicular to the vectors and ú =

A:

Q: Let a = (-1; 3; 2) and b = (4; -2; 1). Find two unit vectors orthogonal to both a and b. Are the…

A:

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: Find the initial point A of the vector that is equivalent to (3,7), and whose terminal point is…

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: What is the vector between the point (−3a,−7b) and the point (−4a,−5b)?

A: Vector between two points A and B is B-A

Q: Find the terminal point of a vector of magnitude 5 that is parallel to the vector 1, 2, 3 and whose…

A: We will first find direction of vector using the magnitude and values of initial point and parallel…

Q: Find two vectors that are not multiples of each other and are both orthogonal to〈2, 0, −3〉

A: Consider the first vector, and the second vector, x1,y1,z1 and x2,y2,z2, respectively. Since both…

Q: When decomposing the vector A= 2i - 1 + 3k into the sum of two vectors, the first is parallel to the…

A:

Q: We say that two vectors are equivalent .if they have the same components

A: Ginen statement, Two vectors are equivalent if  they have same component.

Q: Find the vector with initial point P and terminal point Q: P= (2,-3) and Q= (0,5)

A: Simply substrate the given two points fro one another.

Q: A vector whose initial point is at the origin is called a/an________ vector.

A: Consider the given: A vector whose initial point is at the origin is called a/an________ vector. A…

Q: 2 nogonal to the vector

A: The coordinates of point M is 1,1,0 . The orthogonal vector to M is 200. The equation of the plane…

Q: Find the vector in the same direction as <1, 1, 0> whose component in the direction of <2,…

A: Let  us suppose that

Q: Find two linearly independent vectors perpendicular to the vector V = 3 -5

A: Let's find.

Q: Find the vector equation of a line that passes through the two points A(3,9,2) and B(−7,1, −4)

A: The given points are: A=3,9,2B=-7,1,-4  Therefore, A→=3i+9j+2kB→=-7i+j-4k  To find the vector…

Q: Find two linearly independent vectors perpendicular to the vector 4 v =

A:

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

A:

Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

Q: . Suppose ū = and i = ;). Construct a pair of orthogonal vectors from these two vectors.

A: See below the answer

Q: The ________ ________ of two vectors yields a scalar, rather than a vector.

A: Given as  The ________ ________ of two vectors yields a scalar, rather than a vector.

Q: Find two vectors that are orthogonal to ⟨0, 1, 1⟩ and to each other.

A: Vector: Let the two vectors are v and w. We have to find the two vectors which are orthogonal to…

Q: Determine the head of the vector;whose tail is (−3, 2). Make a sketch.

A: Consider (x, y) as the head of the vector. Then  -25=xy--32-25=x+3y-2

Q: Find two linearly independent vectors perpendicular to the vector 4 -7

A: This question can be solved using the concept of linearly independent vectors.

Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: what are the components of a vector? what if the initial point is not (0,0)? given a vector v and a…

A: A scalar is a real number. A scaler is a single, independent number.  A vector is a ordered…

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

A:

Q: True/False: Vectors are completely determined by their magnitude. In contrast, scalars are…

A:

Q:

A:

Q: 6.) Find a vector equivalent to the vector PQ with its initial point at the origin. = (;-2), Q =…

A:

Q: Find a vector orthogonal to the vectors and

A: This problem belongs to vector section and we solve this using dot product concept

Q: Find the coordinates of the terminal point of the vector v = 3i−2j if the initial (tail) starting…

A:

Q: Find a non-zero vector perpendicular to the vectors -2 and ü = 2 ||

A:

Q: Consider the vector whose initial point is P( – 4, 3) and terminal point is Q(0, - 1). Find the…

A:

Q: when we decompose the vector , what would the vertical component be?

A: Use the decomposing concept of a vector.

Q: If we were to decompose the vector , what would be the vertical component?

A:

Q: Calculate the first two vectors generated by the Gauss-Seidel method.

A: Gauss Seidle method

Q: .3

A: Given: v={ √2,3√2}

Q: Find the orthogonal projection of the vector a (-9,-8, 7) in the direction of the (-3,-5,-2). vector…

A:

Q: A mouse is trapped in a maze. To find his way out, he walks 15 m east, makes a 90° left turn, walks…

A:

Q: Find a vector orthogonal to the vectors ā = and 5=.

A: Recall:  Vector orthogonal to the vectors a→ and b→ is a→×b→a→×b→ We have, a→=1,2,3, b→=1,0,1