Using || || and 0, give the vector in (x, y)-form. II

Q: Find a vector v with initial point vector in the direction of v. Enter your answers in i, j, k…

A:

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: Find a non-zero vector a perpendicular to the vectors [3] and ū = 2 1

A: Given, v→ = 372  and  u→ = 121   We have to find the non zero x→ vector perpendicular to both the…

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

A:

Q: Let the vector v have an initial point at (−3, 4) and a terminal point at (-2, 6). Determine the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

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: A. If x and y are orthonormal vectors, then find the valne of x+ yl? - |x-yl

A:

Q: (a) Using Gaussian elimination, find a vector v such that

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one.…

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: If is a covariant vector in Cartesian coordinates x',x2.

A: In this question, we have covariant tensor (x1x2,x2x1) By using the transformation cartesian to…

Q: Let v1 = [1, 1, 0, 2], v2 = [0, 1, 2, 3], v3 = [-1, 0, 2, 1), V4 = [ 3, 1, -4, 0] and b = [4, 3, -2,…

A: Given

Q: H-w find the vector whosp Leng th is 10 and Sum of it's components is uinimum?

A: Here first we form a function f that should be minimised and a condition g=0 which is followed by…

Q: Expreas the unit vector dirccted toward the point (0,0, A) from arbitrary point in the plane --2. an

A: In this question, we have to find the unit vector toward the given point from the given plane the…

Q: solve for th e vector x in terms of the vectors a and b. x - a= 2(x - 2a)

A:

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: Q2) A- Use two methods to create the vector x having 100 regularly spaced values starting at 5 and…

A:

Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find.

Q: Find a vector tangent to the curve of intersection of the two cyclinders x2 + y? = 8 and y? + 22 = 8…

A:

Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

Q: 1 u (-y°i +x rmal vector to

A:

Q: Let x=⟨1,1,1⟩ and y=⟨0,3,−2⟩Find a unit vector that is orthogonal to both x and y

A: If w is an unit vector which is orthogonal to x and y, so

Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: Let the vector v have an initial point at (-4, –3) and a terminal point at (2, 3). Determine the…

A: Given vector v have Initial point -4, -3 and terminal point 2, 3

Q: Vector v with initial point P1 = (x1, y1) and terminal point P2 = (x2, y2) is equal to the vector v…

A: Given : the two points are given as initial point P1 as x1,y1 and terminal point P2 as x2,y2.…

Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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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 vector equation and a parametric equation for the line that passes through the point (5, 1,…

A: We have to solve given problem:

Q: Vector v with initial point P = (x1, yı) and terminal point P, = (x2, y2) is equal to the vector v =…

A: Initial point is P1=x1, y1 and terminal point is P2=x2, y2.

Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

A:

Q: yi – aj (x2 + y?)4 Consider div (a) Is this a vector or a scalar? scalar (b) Calculate it: yi-zj div…

A: a) The divergence of a vector point function is a scalar quantity being the dot product of two…

Q: Let v1 = [1, 1, 0, 2], v2 = [0, 1, 2, 3], V3 = [-1, 0, 2, 1], V4 = [ 3, 1, -4, O] and b = [4, 3, -2,…

A: According to the given information, it is required to find the solutions to the vector equation.

Q: Q2: Determined the component of the vectors at each point…

A:

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: Let A = (0, 0, 0) and vector v = (-3, 0, 1). Find vector equation of the line containing the point A…

A: Given point on the line is A=(0,0,0) and the line is parallel to the vector V=(-3,0,1)

Q: solve for th e vector x in terms of the vectors a and b. x + 2a - b = 3(x +a) - 2(2a - b)

A:

Q: Let vectors u=[1,0,-1] and v=[-2,1,2].Find the vector w that is orthogonal to both u and v

A: The given vector is u=[1,0,-1] and v=[-2,1,2]

Q: y =-x (b) Use it to project the vector v =

A: Given

Q: Let v be the vector from initial point P1 to terminal point P2. Write in terms of I and J P1 =…

A: Finding the vector v

Q: ) orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A:

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: Q:: Determine whether the vector w= is a linear combination of the vector u= and the vector v = ?

A: w is not a linear combination of vector u and the vector v.

Q: Let u = -i + j, v = 3i - 2j, and w = -5j. Find the specified scalar or vector: proju (v - w)

A: Given that, u = -i + j v = 3i - 2j w = -5j Then we get, v - w = (3i - 2j) - (-5j) = 3i - 2j + 5j =…

Q: find the component form of the vector. The unit vector obtained by rotating the vector [0, 1]…

A: Given unit vector is 0,1 makes an angle of 90°. The vector obtained by rotating it by 120° counter…