B. Find the unit vector with the initial point P(-3,4,1) and terminal point Q(-5,2,2). Then find the midpoint of this vector.

Q: Find the vector v with the given length and the same direction as u.||v|| = 4, u = (−1, 1)

A: To find a vector v with the given magnitude of ||v|| = 4 and in the same direction as u = (−1, 1).

Q: Let v be the vector from initial point P1 = (2, -5) to terminal point P2 = (-6, 6). Write v in terms…

A: Given, The initial point is P1 = (2, -5) to terminal point P2 = (-6, 6).

Q: Let v be the vector from initial point P1 = (-1, 6) to terminal point P2 = (7, -5). Write v in terms…

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 unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Let v be the vector from initial point P1 = (-7, -4),to terminal point P2 = (0, -2). Write v in…

A: Vector u from (a,b) to (c,d) is (c-a,d-b) or  (c-a)i+(d-b)j

Q: Let v be the vector from initial point P1 = (4, -5), to terminal point P2 = (4, 3). Write v in terms…

A: Let v be the vector from initial point P1 = (4, -5), to terminal point P2 = (4, 3). To write v in…

Q: Find a vector equation for the line segment from (2, -4, 6) to (5, 5, 5). (Use the parameter t.)…

A: a→=2i-4j+6kb→=5i+5j+5kn→=b→-a→=3i+9j-k

Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: 3 Give the position vectors of A, B, C, D and E relative to O for the diagram below. B D-

A: In geometry a position vector so known as location vector. Here we find position vector relative to…

Q: Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2).

A: Consider the following values: magnitude=6unit vector=12i^+32j^

Q: Let v be the vector from initial point P1 = (-3, 4) to terminal point P2 = (6, 4). Write v in terms…

A:

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

A: Given,           v=1,2,-2

Q: Let v be the vector from initial point P1 = (-7, -4) to terminal point P2 = (0, -2). Write v in…

A: To write the vector v in terms of i and j.

Q: O Find a unit vector (a vector with length 1) that has the direction of 3 2

A: Given below the detailed solution

Q: find a. the direction of vector P1P2 and b. the midpointof line segment P1 P2. P1(0, 0, 0) P2(2, -2,…

A: To find:(a) the direction of vector P1P2(b) the midpoint of line segment P1P2P1(0,0,0) and…

Q: Find a vector equation for the line segment from (2, -4, 5) to (6, 4, 4). (Use the parameter t.)…

A: Explanation of the solution is given below...

Q: 2. Find the unit vector in the direction of

A:

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: Let v be the vector from initial point P, to terminal point P2. Write v in terms of i and j. P,…

A: We will use the fact that a vector is determine by the initial point and final point as given in the…

Q: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

A:

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: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

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

A:

Q: Let v be the vector from initial point P1 = (-8, 6), to terminal point P2 = (-2, 3). Write v in…

A: Let v be the vector from initial point P1-8,6, to terminal point P2-2,3.

Q: Find a unit vector that is orthogonal to both u and = (-8, -6, 4) v = (17, -18, -1)

A: In this question we will use basic of calculus i.e vector calculus. We will simply find the cross…

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

A:

Q: Let v be the vector from initial point P1 = (-4, -4) to terminal point P2 = (6, 2). Write v in terms…

A: Given initial point P1=-4,-4 and terminal point P2=6,2. Given points can be written as: P1=-4i-4j…

Q: find a. the direction of vector P1P2 and b. the midpointof line segment P1 P2. P1(-1, 1, 5) P2(2, 5,…

A: Given Points - P1 = -1, 1, 5P2 = 2, 5, 0Vector P1 and P2 ,P1→ = -i+j+5k…

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

A:

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

A:

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

A:

Q: Let v be the vector from initial point P1 = (-4, -4),to terminal point P2 = (6, 2). Write v in terms…

A: Initial point is P1=-4, -4 &amp; terminal point is P2=6, 2.

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 position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

A:

Q: Express the vector v with initial point P and terminal point Q in component form. (Assume that each…

A: From the graph we can se that the coordinates of point P is 5, 2 and the coordinates of point Q is…

Q: Let v be the vector from initial point P1 = (-3, 0) to terminal point P2 = (-2, -2). Write v in…

A: Solution:- we have to find vector v in which  initial point P1 = (-3, 0) to terminal point P2 = (-2,…

Q: i. What are the lengths of the x- and y-components of this vector? 10

A: Find your answer below

Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: Let v be the vector from initial point P1 = (-1, 7),to terminal point P2 = (-7, -7). Write v in…

A: Given: Initial point P1=-1,7 Terminal point P2=-7,-7

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

A:

Q: Use the points P(3, 1) and Q(7, 1) to find position vectors equal to PQ and QP.

A:

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

A: