Use the given pair of vectors, v= 5i+6j , w= -9j , 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 Select all the quantities that are vectors.

Q: Use the given pair of vectors, v- 51+6), w -9), to find the following quantities. State whether the…

A: By using vector property, we calculate the required quantities.

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as…

A: Here we have to find the length of the diagonal.

Q: For the pair of vectors, find U+V, U-V, and 4U+3V U= 2i+5j, V= 5i+2j

A: I am going to solve the given problem by using some simple calculus to get the required result.

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

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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: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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

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Q: Consider the vectors ä = 5i+ 3- k, 6= 5i – 3 + k, 1+53+ 6k d = i+3+6k, j = -1-53+ k. Which pairs (if…

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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: 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: 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: nd the values of a for which vectors A and B are perpendicular where A = 2i+j+ ak and B = 2i+aj+k.

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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: B) Determine if the two vectors are orthogonal or parallel or not? A- 6i + 6k and B-2i+2j+2k

A:

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…

A:

Q: Given the vectors u = 2i+j and v = 4i-6j, find 4u and u-v. Write your answers in the form a i+bj. 4u…

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Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: Use the vectors u = i + 4j and v = −6i − 9j. Find 3v + 4u.

A:

Q: 2) Let u=5i-j+k, v=j-5k and w=-15i +3j-3k. Which vectors, if any, are: a. Perpendicular? b.…

A: To find out the vectors which are parallel and perpendicular.

Q: Given the vectors v 8i-3j and w -i+6j, find 3v and v+w. Write your answers in the form a i+bj.

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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: For each pair of vectors, find U V.   . U =-3i,  V=5j

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Q: State whether the vectors are parallel, orthogonal, or neither. v = 2i + j, w = i - 2j O Orthogonal…

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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: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: Use the given pair of vectors, v= -6i+7j , w= -8j , to find the following quantities. State whether…

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Q: Q2/ A) Knowing that A 2i+mj+k & B-5i+j+ 4k are perpendicular vectors. Find the value of m then find…

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

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Q: in the same sets of axis express the following vectors a=i+j, b=-1+j, c=a+b, d=2a,and e=a-b

A: The vectors are:-

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: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: Use the given vectors to find the specified scalar. u = 9i - 6j, v = -8i - 9j, w = -10i + 5j; Find u…

A: Given that     u = 9i - 6j , v = -8i - 9j , w = -10i + 5j Here we have to find u.(v+w)

Q: Q2 A) Knowing that A = 2i + mj +k & B -5i +j+ 4k are perpendicular vectors. Find the value of m then…

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Q: Use the vectors u = i + 6j and v = -3i - 5j. Find 5v + 2u.

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Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (b) Find the sum of the vectors 3î + 7ĵ – 5k, 2î – 3j – 8k and i- 2j + 12k. Also calculate the unit…

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Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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Q: For the two vectors a = 7i-4j+2k and b = -6i+3j-5k find the scalar component, compąb

A: Consider the formula for the scalar component. Find the dot product for a and b and magnitude of a.…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.