Given v = 7i+ 9j and w = - i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v, is parallel to w and v, is orthogonal to w. a. projwv = (Type your answer in terms of i and j.)

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A: Consider the given vectors U=4i+5j , V=7i-4j First, find the dot product of vectors of U and  V…

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A: The given vectors are u=-3,1,2,v=1,2,1 and w=u+mv. We have to find the value of m.

Q: Find the value of a so that vectors U = ai + 3j and V = 9i + 9j are perpendicular. a =

A: Given: U=ai+3jV=9i+9jθ=90ο

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Q: given two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

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A: We will apply dot product formula and cross product formula.

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Q: Given v = 2i + 4j, w = -3i + 6j, find projw v. Then decompose v into two vectors, v1 and v2, where…

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A: We will prove the given statement.

Q: Find the value of a so that vectors U = ai + 9j and V 3i + 12j are perpendicular. %D a =

A: Since, We know that Two Vectors are perpendicular to each other if and only if their dot product is…

Q: Given v = 2i + j, w = 6i + 3j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

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Q: Given v = - 3i + 5j and w = i+j, a. Find projwv. b. Decompose v into two vectors V1 and V2, where V1…

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Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: To Determine: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w…

Q: Given v = - 7i + 5j and w= -i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v,…

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Q: If a = 2i – j+2k and b =i+2j – 2k, find two vectors e and d satisfying all the following conditions:…

A: Let the required two vectors c and d be c=x1i+y1j+z1k and d=x2i+y2j+z2k. Now as per the given data,…

Q: и %3D —3і + бј, w%3 -2i – 5j u = W =

A: Here I am attaching image so that you understand each and every step. Given option are not match…

Q: Given the vectors →u=−6i−3j and v→= 10i+5j perform the operations below. →u+→v=____________ →u−→v=…

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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: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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Q: Determine if the given vectors are orthogonal. a. v = 3i – 6j and w = 8i + 4j b. s = -2i – 5j and r…

A: Consider the pair of vectors  a)v=3i−6jw=8i+4j b)s=−2i−5jr=−4i+8j

Q: Given the vectors v = 4i + 2j + k and w= 2i + 3j - 4k. Find | 2v – w|

A: Given vectors V=4i+2j+K W=2i+3j-4k Now we have to find |2v-w| as shown below

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A: given the three vectors P=3i-+j+k , Q=4i+Qyj-2k  and S=2i-2j+2k are coplanar vectors. we need to…

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Q: Given the vectors v = 4i + 2j +k and w = 3i – 4j + k. Find | 2v – w |

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Q: Use the vectors u = a1i + b1j, v = a2i + b2j, and w = a3i + b3j, to prove the given property : u . v…

A: Consider the following vectors: u→=a1i^+b1j^v→=a2i^+b2j^…

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Q: If u, and uz are orthogonal unit vectors, and v = au, + bu2, find v•u . v•u1 II

A: topic - vectors

Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

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Q: Given v = i + 2j, w = 3i + 6j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

A: v=i+2j, w=3i+6j Now, v·w=i+2j·3i+6j=13+26=15 & w=32+62=45 Therefore,…

Q: ind the value of a so that vectors U = ai + 9j and V = 3i + 3j are

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Q: A=\+2) -Kg B=-i+j+ K, Csitk, D= i+2j-K which vectors are: @ perpendicular parallel-

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Q: If v = a1i + b1.j and w = a2i + b2 j are vectors, the product v . w, called the________ , is defined…

A: If v=a1i^+b1j^ and w=a2i^+b2j^ are vectors, the product v.w, called the __________, is defined as…

Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

Q: Given v = −8i − 4j and w = −6i + 4j, Find projwv. Find vectors v1 and v2 such that v1 is parallel…

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Q: Determine the value of the parameter k so that the vectors ū= ki− 2j + 3w, v̄= −i + kj +w are…

A: The given vector are ū= ki− 2j + 3w, v̄= −i + kj +w .

Q: Given v = 3i - 2j, w = 2i + j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

A: Given that, The vectors  v = 3i - 2j, w = 2i + j. We have to find projw v By using a formula, projw…

Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

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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 value of a so that vectors U = ai + 12j and V = 31 + 9j are perpendicular. a =

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A: Given that, u=a1i+b1jv=a2i+b2jw=a3i+b3j

Q: If a = 2i – j+k and b = 2j – k, for which value of t are the vectors a + tb and a orthogonal? 6 2 -3

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Q: Given v = 6i + 2j and w =i-j, a. Find projwv. b. Decompose v into two vectors v, and V2, where v, is…

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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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