Find the following for the vectors u = 6i + 9j + v2k and v = - 6i – 9j – V2 k. a. v•u, v, and u b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector projyu

Q: 3. Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = 4i…

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Q: Find the following for the vectors u = 6i – 5j + 7k and v = - 6i + 5j - 7 k. a. v•u, v|, and u b.…

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

A: topic:- vector algebra

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

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Q: Find the angle θ between the vectors (a) in radians and (b) in degrees.

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Q: Find the angle between the vectors u = ⟨3, 1⟩, v = ⟨2, −1⟩     (a) in radians and (b) in degrees.

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Q: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

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Q: Find the following for the vectors u = 10i – 8j + V5 k and v = - 10i + 8j - V5k. a. v•u, |v|, and…

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Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

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Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

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Q: use the vectors v=-2i+j and w=4i+3j to find: -v + 2w

A: Given vectors are, v=-2i+j and w=4i+3j.   The objective is to find -v+2w.   First, find -v as…

Q: Sketch the following vectors u, v and u*v as vectors starting at the origin u = -2i + 2j and v = i -…

A: In coordinate system, xi +yj +zk can be written as -  (x,y,z)

Q: Find the following for the vectors u = - 6i + 7j + V2k and v = 6i – 7j - v2k. a. v•u, v, and u b.…

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Q: Find the magnitude of the vector U = 9i + 12j. |U : %3D

A: If the vector is given:   w=ai+bj+ck   Then its magnitude will be:   w=a2+b2+c2

Q: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: 14. Find a vector perpendicular to both of the vectors * (ũ + v) and (ũ – v) where ủ = 2i – j + k,…

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Q: For the vectors u=i+6j+ 8k and v = 10i – 3j + k, calculate projyu and scal,u.

A: For the solution follow the next step.

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = i + √2j - √2k, v = -i +…

A: The given vectors are u=i+2j-2k,v=-i+j+k.

Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the same direction as v.

A: A vector is a quantity that has both direction and magnitude and a unit vector is a vector that has…

Q: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

A: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

Q: 1. For the vectors u = 4i – j+4k and v= -i- 2j+3k, calculate the following: а) иху b) Vxu c) ux v

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Q: For the vectors u=i+6j+2k and v = 2i - 2j + 5k, calculate projyu and scal, u. proj, u= (Di+ Oi+ (Dk…

A: Given : u = i+6j+2k v = 2i-2j+5k

Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: For the vectors u =i+5j+5k and v = 5i - 5j + 4k, calculate proj,u and scal, u. proj, u = (Di+ Di+ Ok…

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Q: ': Find all unit vectors parallel to the and perpendicular to the plane vector V = 5i -j + 2k

A: Here we find all unit vector parallel to the yz plane and perpendicular to the vectorv→=5i∧-j∧+2k∧

Q: Find the angle between the vectors u = 3i + 4j, v = −2j + 3k (a) in radians and (b) in degrees.

A: Our Aim is to find the angle between the vectors given below:- u=3i⇀+4j⇀ and v=-2i⇀+3k⇀(a) in…

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: 1. Find the angle that the vector V = makes with the positive x axis.

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Q: Find the unit vector that has the same direction as the vector v = 3i - 4j.

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

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.…

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

A: The given vectors are

Q: H.W 6- Determine which of the following vectors are parallel to A = 4i +6j 1. -4i -6j

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Q: Find the following for the vectors v = - 9i + j and u = - 5i + V3j. a. v•u, Įv], and |u| b. the…

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Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

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Q: Find the dot product of the vectors v = 5i - 3j and w = 2i - j.

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Q: Find the following for the vectors u = - 9 i-2j + v2 k and v = 9 i+2 j- v2 k. a. v•u, v|, and u b.…

A: Let a→ = a1i^ + b1j^ + c1k^ and b→ = a2i^ + b2j^ + c2k^ two vector. Then, a.b = a1a2 + b1b2+c1c2 a…

Q: If A = 3i + 4j and B = 7i + 24j, the %3D vector having the same magnitude as B and parallel to A is…

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Q: Determine a unit vector perpendicular to the both vectors A - 5i + 6j – 8k and B : - 2i + 5k. |0| =…

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Q: If v = 5i + 6j and w = 10i + 12j, find proj,v. Then decompose v into two vectors v, and v2, where v,…

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