Review Exercises ® Given vecturs u= <-2,-1,2> and v= < 4,2,P), find u* V, lul and Ivl. Hence, usng the pro per ties of cruss product, find p if a) u and v are parallel vecturs (b) u and v are parpendicular vectors

Q: C A

A: We use Triangle law

Q: Write three properties of parallel vectors p and q.

A: Introduction: Only when there is a 0 degree angle between two vectors can it be said that they are…

Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: Vectors What is the resultant of vectors a and b? ( A

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Q: Determine whether the vectors u = and v = are perpendicular.

A: As we know that if the dot product of two vctors is zero then we can say that the vectors are…

Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

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Q: Find two linearly independent vectors perpendicular to the vector 1 3

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Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

A: Topic - vectors

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

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Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: determine nonzero vectors that are orthogonal to the following vector (b).  (1, -2, 3) c. (5, 1, -1)

A: Let the vectors be- u→=xi^+yj^+zk^v→=i^-2j^+3k^ For the vectors to be orthogonal-…

Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Find the dot product of vectors and .

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Q: 2. Find the unit vector in the direction of

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Q: Let v = (-1,3,4). Find (a) a unit vector in the direction. of v and (b) a unit vector in the…

A: The given vector .The aim is to find the unit vector in the direction of  and the unit vector in the…