A vector of length 5 perpendicular to both u = (3, -1, 5) and v =(2, 1, 0) has %3D coordinates a) 50 25 V150' V150' V150 Оы(-25, 50, 25) Oc) 0(-50' V150 V150 10 O d) (-5, 10, 5) e) NO RESPONSE

Q: Find two unit vectors orthogonal to a = (3, 3,0) and b = (-3, 0, –4) Enter your answer so that the…

A: We have to find two unit vectors orthogonal  to given a and b vectors.

Q: Whereas a sphere is inscribed in a straight circular cylinder. The sphere is cut by any two planes…

A:

Q: Find two unit vectors orthogonal to both   2, 7, 1    and   −1, 1, 0  .

A: We have to unseunders concept first-

Q: Find a vector of norm 1 that is orthogonal to the three vectors ü = (2,1,-4,0), v=(-1,-1,2,2),…

A: We have to find a vector of norm 1 which is orthogonal with the vectors u, v and w. Let a, b, c, d…

Q: Find two unit vectors orthogonal to both u (3, – 1, – 2) and i (0, 4, 2). Give exact values - (no…

A:

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Consider the given vectors. Cross product of two vectors is perpendicular to both the vectors. This…

Q: A vector orthogonal to the plane through the points (-1,0, 0), (0, 0,-2), (2, 3, 4) is

A:

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

A:

Q: Find two unit vectors orthogonal to both (2, 7, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Given that the vectors are 2,7,1 and -1,1,0.It is required to find the two unit vectors orthogonal…

Q: Express the vector u = (1,-8,0) as linear combination of the vectors u, =(4,5,0) and u, = (7,6,0)…

A:

Q: Are vectors v = ⟨ − 2 , − 3 ⟩ and u = ⟨ 6 , − 4 ⟩ orthogonal? Yes or No:

A:

Q: 2 3 Let u and v %3D . Find the length of 2u and the length of -v. - Find the distance between u and…

A:

Q: ind a unit vector with positive first coordinate that is orthogonal to the plane through the points

A: Given that the plane passes through the points, P(4,1,-1) Q(5,2,0) R(5,2,5)

Q: 4. Find an initial point P of a nonzero vector u = PQ with terminal point Q(3,0,–5) and such that u…

A:

Q: Find a unit vector perpendicular to both u = (2,3, –4) and v = (-1,1,–4). %3D

A: The unit vector perpendicular to u and v is given by: w=±(u×v)|u×v|

Q: O Find a vector orthogonal to both (-2, 1, 0) and to (0, 1, –5) of the form

A:

Q: U=(-1,2) as(-2,3) find Hhe vector Comporent Wis Projau

A: Take the help of dot product and use the formula.

Q: find vector v that is orthogonal to vector (0,1,0,0,0) Select one: a. v=( -1, 0, s, t, w) b. v=( r,…

A: Two vector are orthogonal if their dot product is zero.

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, –2), (2, 3, 4) is

A: Query- Find a vector orthogonal to the plane through the points -1,0,0,0,-2,-2,2,3,4. Answer- Let…

Q: 1. Find equation of plane P containing point P,: (1,2,3) and the vectors v = (2,1,2) and w = (3,…

A: Solution:-Here we have to find the equation of the plane containing points P0:(1,2,3) and vectors…

Q: Find a unit vector that is orthogonal to both u = (- 1, 4, – 5) and v = (0,4,–7). %3D

A:

Q: Indicate the options that contain an orthogonal set of vectors:

A:

Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

Q: If a vector u is orthogonal to vectors x and y then u is orthogonal to the vector x + y. :Select one…

A:

Q: If a vector u is orthogonal to vectors x and y then u is orthogonal to the vector x+ y. :Select one…

A:

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

A:

Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

A:

Q: Vector w has initial point (2, −1, 3) and terminal point (−4, 7, 5). Which of the following vectors…

A: we know that vectorV→ which have initial pointx1,y1,z1 and terminal pointx2,y2,z2 is given by…

Q: Find two unit vectors orthogonal to both (3,2,1) and (–1,1,0).

A: The vectors 3,2,1 and -1,1,0

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the…

A: The given vectors are  a=4,-5,3b=-4,0,-3

Q: Please reply as soon as posible Consider the vectors u = (1, -8,5) and v = (- 15.0, -3) The vector…

A: Given vectors are u = (1, -8,5) and v = (- 15.0, -3)

Q: A plane passes through the points A, B and C with coordinates (9,1, –4), (13, —4, 7) and (4, 2, −5)…

A: For the given points on the plane the cross product AB→ ×AC → = -6i-51j-21k or can be written as…

Q: 1. The vector in the opposite direction to u = (-1,0) and of half its length is 2. The vector of…

A: 1.The vector is u=<-1,0>2.The vector is v=<-4,5,-3>

Q: of the vector 5 . ) Petermine line an dlependence X,= (1,0,2,1) X2 (3,1,2, D (4,6, 2,4) %3D X3 X4 =…

A: Vectors are linearly independent if there exist non zero value of ci's such that:…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0,0, –2), (2,3, 4) is О О O 6,-10, 3>…

A: Let, Given vectors are P(-1,0,0), Q(0,0,-2) and R(2,3,4). We have to find non zero vector orthogonal…

Q: find vector v that is orthogonal to vector (0,1,0,0,0) Select one: a. v=( r, 0, s, -t, w) b. v=( r,…

A:

Q: A vector u has an initial point (1,2,3) and terminal point (6,9,1). Find a vector v that has the…

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is

A: This could be solve using vector concept.

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –1, -2), (2, 3, 4) is

A:

Q: Find a vector of norm 1 that is orthogonal to the three vectors u = (2,1,-4,0), =(-1,-1,2,2),…

A: The solution is given as

Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0). LO î + 27 (F (smaller i-value) î…

A: Use the given information.

Q: ind a vector orthogonal to both u and j+k. u=2i-j+3k

A: we have been given two vectors,  u = j+k. v=2i-j+3k   the unit vector that is orthogonal to both…

Q: Find a nonzero vector parallel to the line of intersection of the two planes 4x-2y+z=-1 and…

A: Answer

Q: Find two unit vectors orthogonal to a = (4, –5, -2) and b = (-3,0, 4) Enter your answer so that the…

A: