Let u = i + 2j - k, v =-i + j + k, w = i + k, r =-(pa/i2)i - pai j + (pai/2)k. Which vectors, if any, are (a) perpendicular? (b) Parallel? Give reasons for your answers

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Let u=j-5k, v=5i-j+k, w=-10i+2j-2k Which vectors, if any, are perpendicular? Which are parallel

A: Click to see the answer

Q: O let A = i+2j-K, B=-i+j+K, Esi+k, 5z i+2j-K which vectors are: @ perpen dicular Parallel

A: Our are objectives to check which vectors are parallel and which vectors are perpendicular

Q: Find the angle between the vectors ā and b where ā = i + 2j – k and b = -i+j- 2k. %3D

A: The angle between the two vectors a→=axi^+ayj^+azk^b→=bxi^+byj^+bzk^ can be calculated as cos…

Q: How do you calculate the distance between two points of known coordinates? Q2/ How do you calculate…

A: In the XY-coordinates plane, the location of any point is described as the pair of (x, y) which is…

Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

A: Click to see the answer

Q: Let u =j- 3k, v = - 9i + 3j – 3k, w = 3i -j+ k. Which vectors, if any are (a) perpendicular? (b)…

A: Click to see the answer

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

A: Click to see the answer

Q: Let the vector 3i +j can be expressed as a sum of vectors u and v where u is parallel to the vector…

A: Click to see the answer

Q: a/The angle between the two vectors A2 Bz 3 TT 2

A: Click to see the answer

*question_answer*

Q: Find the angle θ between the two vectors u = (1, 2, 1) and v = (2, 1, −1).

A: Click to see the answer

*question_answer*

Q: Find A:D,AAU ® let Ā = i+2j-K , B=-i+j+ K,itk> D=i+2j-K which vectors are: @ perpendiCular 6…

A: Please see the explanation below

*question_answer*

Q: I\ Find the unit vector that has the same direction as vector v = -4i - 3j + 6k ? %3D

A: Click to see the answer

*question_answer*

Q: What is the angle e between the vectors u= and v= in R* ? (Express the answer to the nearest…

A: B

*question_answer*

Q: 2a.) Suppose u, w are two vectors in R7 satisfying uxu 4, wxw 16, uXw = 8, What is the cosine of the…

A: We are given that : u→.u→=4⇒u→u→cos 0=4⇒u→2=4⇒u→=2 w→.w→=16⇒w→w→cos 0=16⇒w→2=16⇒w→=4 Now, Let θ be…

*question_answer*

Q: Find the angle 0 between the vectors. u = (1, 1, 1), v = (7, -6, 5), (u, v) = u1Vı + 2u2v2 + U3v3…

A: Click to see the answer

*question_answer*

Q: What does (a b c)=0 imply with respect to the vectors: a,b,c

A: Consider the given information. The given vectors are a, b and c. Geometrically, the scalar triple…

*question_answer*

Q: Find the angle (in radians) between the 2 vectors U(-3, 4, -4) and V(1, 2, 2)

A: Given vectors are, U(-3, 4,-4 ) and V(1, 2, 2 )

*question_answer*

Q: what is u.v when u and v are two unit vectors with an angle of (pi/6) between them. if u=i and if v…

A: Given: u=i, angleθ between u and v=π6 let's assume v=xi+yjx2+y2 we know that angle between two given…

*question_answer*

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

A: Click to see the answer

*question_answer*

Q: Find the angle between the vectors. 20 u= - 5 531-Si and v= zi-[2 V3= 2i:

A: The given vectors are

*question_answer*

Q: Let u = 5i - j + k, v = j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular?…

A: To Determine: Let u = 5i - j + k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a)…

*question_answer*

Q: Let u = 5i - j + k, v = j - 5k, w =-15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

A: To determine the vector which are,Part (a) ParallelPart (b) Perpendicular

*question_answer*

Q: Find the median AD of the triangle ABC where positive vectors of the vertices A, B and C are…

A: Vertices of the Triangle ABC given A=i+j,B=4i+6j,C=i-j; Hence, We can take these vectors as the…

*question_answer*

Q: Find the angle θ between the two vectors.u = (3, 3), v = (−2, 2)

A: Click to see the answer

*question_answer*

Q: Find the angle between the two vectors and determine if theY are, or thogonai: ü=5i-33+2k ahd V=-i-…

A: We will use the formula: θ=cos-1u→·v→u→v→First we calculate:…

*question_answer*

Q: What are the possible angles θ between two unit vectors e and f if ||e × f|| = 1/2 ?

A: The cross product of two vectors can be found by the formula a→×b→=a→b→sinθ The magnitude of the…

*question_answer*

Q: Find a unit vector that is perpendicular to both u = (1,0, 3) and v = (-1,2,0). Answer:

A: We have to find the unit vector which is perpendicular to given vectors.

*question_answer*

Q: Find the angel between the vectors u and v if u=-4i+2j and v=3i+2j Round answer to two decimal…

A: Consider the dot product of two vectors.

*question_answer*

Q: Two vectors u, v in Rº have lengths 4 and 4, respectively. It is also true that u- v = 0. What is…

A: Click to see the answer

*question_answer*

Q: Suppose i and V are vectors such that ||ū|| = 2, |||| = 3, and the angle between u and ở is 60º. a)…

A: This question is related to vectors, we will use formula of dot product of vectors and basic…

*question_answer*

Q: Is it possible to have ||u−v|| = ||u + v|| if u and v are nonzero vectors? Justify your conclusion…

A: Click to see the answer

*question_answer*

Q: Find the angle e between the vectors i + 2j - 3k and -i + 2j + k.

A: Click to see the answer

*question_answer*

Q: If u = 5i - j+ k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

A: Click to see the answer

*question_answer*

Q: which vector is NOT orthogonal to (cos θ, sin θ, 1)? a) (-sin θ, cos θ, 0) b) (-cos θ, -sin θ, 1)…

A: To find which vector is not orthogonal to (cosθ,sinθ,1)

*question_answer*

Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, 1, −1)

A: The vectors are To find the angle between the given vectors, use formula

*question_answer*

Q: Find the angle between the vectors v and w v = (−2, 3, 1)T , w = (1, 2, 4)T

A: Consider the given vectors: Here the objective is to find the angle between vector v and w.

*question_answer*

Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of v = ⟨2, −1, 2⟩

A: a) Given that v=2, -1, 2 So unit vector in the direction of v is vv=2, -1, 2(2)2+(-1)2+(2)2=2, -1,…

*question_answer*

Q: i) Find a vector x with magnitude 3 that is in opposite direction to u. ii) Determine whether u and…

A: Click to see the answer

*question_answer*

Q: Find the two unit vectors orthogonal to both a = 3j + 2k and b = -i- 2k. O A -61 - 2j + 3k and 6i+…

A: Click to see the answer

*question_answer*

Q: 6. For the vectors ü = (4, 3) and i= (-2, 3), caleulate the following quantities. (a) la+ 레 (b) la+…

A: Click to see the answer

*question_answer*

Q: compute the dot products i ⋅ j, i ⋅ k, and j ⋅ k for the unit coordinate vectors. What do you…

A: Given: Compute the dot products i ⋅ j, i ⋅ k, and j ⋅ k for the unit coordinate vectors.

*question_answer*

Q: If u and v are vectors in Rn, what is the relationship between uT v and vT u? Are they equal?…

A: We are given the vectors, u and v are vectors in Rn. Let us use the notations,…

*question_answer*

Q: We have three vectors u, v and w in R: 1 = U = (7a) Are these vectors ü, v and w linearly…

A: We have vectors u→, v→ and w→ in ℝ4 : u→=102-1, v→=-1021,…

*question_answer*

Q: Suppose that u and v are two unit vectors in 3D and the angle between them 6 i. What is |u x v[? ii.…

A: Click to see the answer

*question_answer*

Q: Determine the angle between the given vectors. a = 3i – 2j, b = 2i + 2j (b) и %3D (1,—4, 2), v %3D…

A: Click to see the answer

*question_answer*

Q: Find the area of the triangle with two sides given by the vectors a = i - j+4k, and b = 2i– 4j+1k

A: The area of the triangle is given by Area = 12a→×b→ a→=i-j+4kb→=2i-4j+k

*question_answer*

Q: Find the area of the triangle with two sides given by the vectors a = i - j+4k, and b 2i – 4j+1k

A: Click to see the answer

*question_answer*

Q: Find two unit vectors that are perpendicular to both j + 5k and i − 2j + 5k. (Enter your…

A: The given vectors are u=0i+j+5k and v= i-2j+5k. Compute the cross product as follows.…

*question_answer*

Q: Find the vectors T, B, and N at point (8, 0, 0) r(t) = <8cos(t), 8sin(t), 8l

A: Here we have to find the vectors T( unit tangent vector ), B (Binaormal vector ), and N (Normal…

*question_answer*

Q: Find the angle θ between the vectors.u = (2, 3, 1), v = (−3, 2, 0)

A: Given: u=2,3,1, v=-3,2,0 we know that angle θ between two given vectors A=x1i+y1j+z1k, B=x2i+y2j+z2k…