Use the given pair of vectors, v= -6i+7j , w= -8j , to find the following quantities. State whether the result is a vector or a scalar. Enter all vectors in component form (a, b) • V+ W • || V+ w || • | |v||+ ||w|| • I[w|| v

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: Use the given vectors to find the specified scalar. u = -15i + 4j and v = 13i - 4j; Find u · v. O…

A: Given problem:- Use the given vectors to find the specified scalar.   u = -15i + 4j and v= 13i - 4j;…

Q: Use the given vectors to find the specified scalar. u = -7i + 10j, v 2i - 8j, w = 7i - 6j; Find u (v…

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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

Q: and express each of them a. in component form and b. by Q(1, 5), and R(-3, 7). Determine the…

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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 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: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

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

A: *The given vector v is, v=2i+4j *The vector w is, w=-3i+6j The projection of the vector on the other…

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

A: v=-2i+j and w=4i+3j

Q: Use the given pair of vectors, v= 3i+4j, w= -3j , to find the following quantities. State whether…

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. Find a unit vector orthogonal to…

A: Find a unit vector orthogonal to both v and w.

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: The vectors a, b and c are such that 2a – b+c= 0. If a = 4i – j+k and b = i- 2k , find a unit vector…

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Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v.w and v.v

A: Given          v=-8i-3j ,          w= -10i -5j

Q: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

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Q: Use the given pair of vectors, v= 7i+8j , w= -8j , to find the following quantities. State whether…

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Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

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Q: For the given vectors a and b, find the cross product a x b. a = i +j+ k, b = 5i - 2k

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Q: Consider the vectors ā = 2i+3- k, č = i+ j+3k d = 21-j+ k, j = -21- j+ k. Which pairs (if any) of…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

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…

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: Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

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Q: Use the given pair of vectors, v= 5i+6j , w= -9j , to find the following quantities. State whether…

A: Given :-       v = 5i + 6j      w = -9j

Q: Use the given pair of vectors, v= 8i+9j, w= -8j, to find the following quantities. State whether the…

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Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

Q: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

A: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

Q: Show that each pair of vectors is perpendicular.     2i + j and i - 2j

A: Solution: Consider the given vectors are  a→ = 2i + jandb→ = i - 2j We know that if the dot product…

Q: Express the following vector as a product of its length and direction: v = 4i + 8j – 16k -

A: Given vector is v→=4i+8j−16k. We have to express the given vector as a product of its length and…

Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: The vectors a and bare unit vectors such that a a+b and 2a +jb are perpendicular. --Determine the…

A: The given vectors a→ and b→ are unit vectors such that a→.b→=12.Given: a→+b→ and 2a→+jb→ are…

Q: 2 Given the three vectors A = 2i +j, B = i+ k, and C = 4j, find the following (a) A. (B + C) and (A…

A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

Q: Use the given vectors v = -6i - 5j, w = -10i - 8j to find v.w and v.v

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Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v . w and v . v.

A: Consider the given vectors v and w. First calculate the dot product for v and w.…

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

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Q: In the same sets of axis express the following vectors a = i+j, b = -i+j,c = a + b, d = 2a and e = a…

A: Answer

Q: Use the given pair of vectors, v= 5i+6j , w= -9j , to find the following quantities. State whether…

A: We apply norm of inner product of addition and multiplication

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: Recall: Horizontal Component, a=v cos θ Vertical component, b=v sin θ Vector=ai+bj we have, |v|=5,…

Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

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 the horizontal and vertical components of the vector with the given length and direction, and…

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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: Write the vector v = (Vị, v½) in terms of the unit vectors i and j.

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Determine m such that the two vectors are orthogonal.

A: Given vectors are 9i-16mj and i+4mj. To find m such that given two vectors are orthogonal. Solution:…

Q: Resolve the vector a = -i+ 4j+9k into orthogonal vectors, one of which is parallel to b =i- 3j – k.

A: Given vectors are a→=−i^+4j^+9k^ and b→=i^−3j^−k^. Here, we using the concept of projection . We can…

Q: ä = 27 + 6j – 4K, b = -3ï – 9j + 6K

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