5. Let ~a =< 2,3,-4 >, b =< -2,4,2 >, and ~c =< 6,-1,-3 >. (a) Find the unit vector in the direction of -a. (b) Show that ~a and b are orthogonal. (c) Find the angle between b and ~c.

Q: 4. Find a unit vector that is perpendicular to (5,6).

A:

Q: What is meant by the term translation in vectors?

A:

Q: Find the vector with length 3 making an angle of 7π/4 with the positive x-axis.

A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: How is the angle between two vectors defined and how is it computed?

A: the angle between two vectors is computed using cosθ

Q: B) Find a vector perpendicular to the plane of P(1, 4, 4), Q(2, 4, 5), and R(-3, 4, 0). Which axis…

A: See the attachment

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

A:

Q: 26. Find the vector that has the same direction as (6, 2, -3) but has length 4.

A:

Q: What is the unit vector perpendicular aial yA n = i-j+ 3k, n2 = 2i + j + 3k to the vectors?

A: Given that:n1=i-j+3k,  n2=2i+j+3k

Q: Let a = (2, – 3) and b (0, – 3). - - Find the angle between the vector, in degrees.

A: Given a→=&lt;2,-3&gt;           b→=&lt;0,-3&gt;

Q: Find the vector of length 2 making an angle of 60° with the x-axis.

A:

Q: 3. Find a unit vector with the same direction as (3, 4).

A: If we devide each component of vector v by |v| we will get the unit vector Uv.

Q: If vector a= and vector b= are vectors a and b orthogonal, parallel, or neither? Provide

A:

Q: 2 Find the angle between two vectors Ā - Hax-Gay -89z B-Gax + 10ay + Saz

A: Angle between two vectors A⇀ and B⇀ is θ=cos-1A⇀·B⇀A⇀B⇀

Q: Let a and b be two vectors such that Jal =17, b is a unit vector, and 0= " is the angle between…

A: Solve for

Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

A:

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: what is the vector equation of the line of intersection of the planes z=5 and x=9

A:

Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

A:

Q: Find the vector with length V17 and same direction as = (7,0, -6).

A:

Q: Find a vector of length 5 in the direction opposite that of (3, –2, V3).

A: Let the given vector be              a=3i-2j+3k The vector in the direction opposite to a  is  -a.…

Q: Find a unit vector in the direction of u = (3, 4, 5).

A: Given vector, u=3, 4, 5

Q: A vector is in standard position if the _____ of the vector is placed at the ______ ofa rectangular…

A: To fill up the blanks,  A vector is in standard position if the _____ of the vector is placed at the…

Q: the angle made by vector A = 2 ax- ay +2 az and X-axis

A:

Q: 1. Express A = (3, 1, –1) as B+ C, where B is parallel to the vector (1, 4, 2) and C is…

A:

Q: what is the distance between the vectors  u = (0,1,2,3) and  v = (1,0,4-1)

A:

Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: A vector is described as "A plane with an airspeed of 450 miles per hour is flying in the direction…

A:

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

A: Answer: True.

Q: 9. Which is traveling faster, a car whose velocity vector is 217 +35j or a car whose velocity vector…

A: We are authorised to solve only one question, please repost remaining questions Magnitude of vector

Q: and the unit vector along the direction of u.

A:

Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: Find the angle between the vectors (2, 1) and (3, -2) to the neareast second.

A:

Q: If ï = (, 2), find a vector i that is perpendicular to ū.

A:

Q: State the difference between a position veetor and a line vector.

A:

Q: Find a unit vector in the direction of u = (5, 3, 2).

A: Given vector is u=(5,3,2) Find a unit vector

Q: The vector from the origin to point A is given as 6ax – 2a, – 4az, and the unit vector directed from…

A: Given vector is A→=6,−2,−4 and B→=B23,−23,13 And B−A=10 We have to find the coordinates of the point…

Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: Find the vector W which is of length 6 and oppositely directed to u = (2,-2,1)

A: Given,          The vector w→ which is of length 6 and oppositely directed to u→=&lt;2,-2,1&gt;.

Q: What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

A: Given  a = (2, 5, -1) and b = (-3, 2, 6) To find angle between two vectors:

Q: Determine the angle that the vector [- /3, – 1] makes with the positive horizontal X - axis

A: To find the angle between the vector -3,-1 and positive x-axis

Q: What is the resultant of vectors a and b? (

A:

Q: When is a vector incomprehensible and when is a vector irrational?

A:

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

A:

Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

A:

Q: Find the angle between the vectors u and v if u (2,3,5) and v = : (1,–4,3) in (Ctrl) ►

A:

Q: 2. Find a vector that has the same direction as (-3, 5, v2), but has length 8. 3. If ā = 21 – 43+ 4k…

A: We'll answer one question since the exact one wasn't specified. Please submit a new question…

Q: Describe a unit vector in R^3 with the same direction as &lt;1,0,7&gt;

A: Consider the given point vector

Q: What are parallel vectors?

A: We have to define parallel vectors. Two vectors are said to be parallel if they have same direction…

Q: 4. Find a unit vector that is perpendicular (5, 6). to

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.