1. Find a unit vector that has the same direction as the vector (-4, 2,4).

Q: Find the unit vector in the direction of <4,2>

A:

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

A:

Q: What is the terminal point of the vector a = <1, 3> based at P = (2, 2)? Sketch a and the…

A: Consider the provided information, The component vector v=PQ→ where P=a1,b1 and Q=a2,b2 are…

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (12, -16, -2)

A:

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: Let v = (-3,5, –5). Find a unit vector in the same direction as v.

A: on solving this we get

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

A:

Q: photo attached

A: Given point can be written in vector form as,

Q: Find the unit vector in the same direction as the vector u = [4, –7]. Ex: 1.234 Ex: 1.234

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: 4. Find a unit vector that points in the same direction as v = (1,3,9).

A:

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

A:

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

A: Given vector, u=3, 4, 5

Q: Find the unit vector u in the directionof the vector v=(1, 2, -2). 8.

A: Given,           v=1,2,-2

Q: Find a unit vector that is perpendicular to both ủ = (2,1, 2) and v = (2,– 2,– 1).

A: Given, u→=2,1,2 and v→=2,-2,-1 we are asked the unit vector that is perpendicular to both.

Q: If a plane is parallel to one of the coordinate planes, then its normal vector is parallel to one of…

A: We will solve the problem

Q: Sketch the vector b = <3, 4> based at P = (−2, −1).

A: Sketch the vector b=<3, 4> based at P=(−2, −1).

Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  &amp; vector b  R= a+ b…

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

A:

Q: find the given vector. Unit vector in the direction opposite to v = (−4, 4, 2)

A: Given, v=-4, 4, 2

Q: What is the magnitude of the vector (2, 4, –4)?

A: FORMULA

Q: Find the unit vector in the same direction as the vector u = [-8, 6, 7].

A: Given,         The unit vector in the same direction as the vector u=-8,6,7.

Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

A:

Q: Find a vector perpendicular to d = [5,–4,6] and h = [-1,3,9].

A:

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

A:

Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=&lt;-12, 8&gt;,    and    v=&lt;-5, -12&gt;. Need to find the unit vector in…

Q: ) Find a unit vector with the same direction as (1,0, 7).

A: We can find the unit vector as below.

Q: 10. Which of the vectors U =, V = and W = are in the same plane?

A:

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

A: From the given points we can find two vectors and after that, using the fact that if one vector is…

Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

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: Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

A:

Q: Find the vector v with the given length and the same direction as u.||v|| = 5, u = (√5, 5, 0)

A: Let the vector u is:   Now, The modulus of vector u is :                                     The…

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: Find the angle θ between the vectors.u = (0, 1, 0, 1), v = (3, 3, 3, 3)

A:

Q: Find the magnitude of the vector AB A=(-2,3) and B=(3, - 4)

A: A vector has both magnitude and direction. The direction of a vector is indicated by an arrow.…

Q: Find the unit vector that has the same direction as vector v that begins at (0, -3) and ends at (4,…

A: If a vector is of the form ai^+bj^   then its unit vector along the direction v is written as…

Q: 20. Show that the pair of vectors ' and ¯J is perpendicular.

A:

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

A:

Q: Find the unit vector in the same direction as the vector u = [7,6]. Ex: 1.234 : Ex: 1.234

A: to find a unit vector in the direction of the given vector we need to divide the given vector by its…

Q: Find a unit vector that has the same direction as the given vector. ‹-3, 3, 4›

A:

Q: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

A: