In each part, find the two unit vectors in R² that satisfy the given conditions. 1. The two unit vector parallel to the line y = - (5x + 2) are and

Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

A:

Q: 1or Find. Ewo unit Vectors in X-y plane 30 deyree with the vectur that make angle cf V= 3i +4j ?

A:

Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Given Ā =,B = and C =. Find: a) the scalar projection of B onto C – À b) a unit vector ū in the…

A:

Q: 4x-y+5z=0

A: If a line and a plane are perpendicular to each other then the direction vector of the line and the…

Q: Find ||7e – 4f|l, assuming that e and f are unit vectors such that ||e + f|| =

A: Suppose e and f be the unit vectors such that e+f=32 First, find the dot product of the vector e…

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

A:

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

A:

Q: Let L be the line y = 6 – 4x in R?. Find vectors a and b so that v = a+tb is a vector equation for…

A: Vector equation of line

Q: and express each of them a. in component form and b. by Q(1, 5), and R(-3, 7). Determine the…

A:

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: 2. The two unit vectors parallel to the line 3x + 4y = 1 are and 3. The two unit vectors…

A: 2) The line is 3x+4y=1. Rewrite the equation of the line in the slope intercept form as,…

Q: Find the positive value for which the vector r(t) (2t, 9t?, 10t2 – 2) is perpendicular to r'(t). -

A:

Q: Given a vector with initial point at P1 and terminal point at P2 given below, find an equivalent…

A: (2,-1) and (3,2)

Q: In each part, find the two unit vectors in R2 that satisfy the given conditions.   The two unit…

A:

Q: Find the equation for the plane through the point Po = (2,3,8) and normal to the vector n= 3i + 8j +…

A:

Q: In each part, find the two unit vectors in R² that satisfy the given conditions. 1. The two unit…

A:

Q: The unit vector perpendicular to the vectors n1= i-j+3k ,n2=2i+j+3k is a vector?

A:

Q: Given the vector v has an initial point at (-8, 5) and a terminal point at (-3, –1), find the exact…

A:

Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n = 2i…

A: Given:A point (3, -2, 1) normal to the vector n = 2i + j + kThe normal vector can be written as,

Q: Find the equation for the plane through the point Po = (2,2,7) and normal to the vector n= 8i + 3j +…

A: Equation of plane passing through point P(x0,y0,z0) and normal to vector n=ai+bj+ck is given by:…

Q: 1. The two unit vectors parallel to the line y = x- 3 are and

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

Q: Let L be the line 8x + 2 in R?. Find vectors a and b so that v a + tb with t ER is also a correct…

A:

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

A:

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A:

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

A:

Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle…

A:

Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: Find the equation of the plane that passes through the point P(1, 0, 2) and contains the line whose…

A: Hi there, At a time we can answer only one question. So, I have answered first one (#6).

Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

Q: Find the equation for the plane through the point Po = (5,4,6) and normal to the vector n= 2i + 3j +…

A:

Q: Find a vector equation with parameter ?t for the line through the point (8,0,−5) and parallel to the…

A: Given,           The line through the point (8,0,−5) and parallel to the vector 2i−3j+3k

Q: Find a vector parametrization of line through P = (9, 8, 3) in the direction v = (4, -8, 6). %3D…

A:

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A: Given: X(1, -2, 1) and Y(0, 3, -2).

Q: -) THREE VECTORS A, B, AND C ARE RELATED AS FOLLOWS ! A AT 180°, A +C =-5+j15, 2 C = CONJU GATE OF…

A: Solution :-

Q: 1. Plot the following vectors using arrows on an xy-graph: -- (}). v-[+]. 1 u = V = 2u, u+v. Is…

A:

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

A:

Q: A line L has a direction vector v = 2i t 4j+ v5k and passes through the Find the distance between…

A:

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. Find the unit vector…

A:

Q: Find unit vectors Parallel to the YZ Plaane and PerPendicular to the Vector V = 51-j+2k ?

A:

Q: Q1// Determine äxb if å=3i-5 j+7k and b=2i-6j+4k and check if resultant vector are perpendicular to…

A: Given,           a→=3i-5j+7k and b→=2i-6j+4kTo find: a→ × b→

Q: Find a unit vector that has the same direction as the given vector. 7i - j+ 5k i + j+ k

A:

Q: Given the following points, determine the vector equation defined by having point A as initial point…

A: RCS- Rectilinear Co-ordinate System CCS-Cylindrical Co-ordinate System SCS- Spherical Co-ordinate…

Q: Consider the lines 3 - z x – 5 l1 : 2 and I. Find two unit vectors that are parallel to l1.

A: