2 d, 2 , and d, 3

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

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Q: Use vectors to find the lengths of the diagonals of the parallelograr that has i +j and i – 18j as…

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Q: The area of the parallelogram formed by the vectors p = (a, 1, –1), and q= (1,1, 2) is v35 sq units.…

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Q: We have vectors U and V such that u|| v. If u-(5,6,7) and v=(a,-18,c), with a and c real constants,…

A: We have to find a.c

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i+j and i – 2j as…

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Q: Consider the triangle with vertices P(-1, -4, -3), Q(0, –1, –5), and R(4, –3, –-6). Determine the…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 8j as…

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Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area…

A: topic - vectors

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as…

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Q: Consider the triangle with vertices P(3, -4, 0), Q(4, -1, -2), and R(8, -3, -3). Determine the…

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Q: Suppose u (2, -2) and = (6,2) are two vectors that form the sides of a parallelogram. Then the…

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Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O…

A: Given query is to find the area of parallelogram.

Q: Pls help

A: Two vectors are equal iff has same direction and magnitude

Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Known fact: If a⇀×b⇀=0 then the vectors are parallel to each other.

Q: Find the measures of the angles of the triangle where vertices are A =(-1,0), (2,1), C = (1,-20).…

A: The given triangle will be

Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k +…

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Q: Use vectors to decide whether the triangle with vertices P (1, −3, −2), Q(2, 0, −4), and R(6, −2,…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 22j as…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

A: This question is based on vectors and parallelogram properties.

Q: An angle between vectors p and has a measure of 120°. If p =8 and |7 8, calculate 戸(p- F).

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Q: Given a = [1,3,-2] and b = [-2, 5,1]. %3D Determine: a) The Dot Product of the given vectors b) The…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

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Q: Given points: A = (4, 9, 1) B = (-2, 6, 3) C = (6, 3, -2) Using angles between located vectors,…

A: the given vertices are if the dot product of any two vectors is zero then we can say that A, B, and…

Q: 9. The points D, E and F divide the sides BC, CA and AB of a triangle in the ratio 1:4, 3:2 and 3:7…

A: Given: The points D, E and F divide the sides BC, CA and AB of a triangle in the ratio 1:4, 3:2 and…

Q: Given the attached picture determine whether the cross product of vectors w and v is directed into…

A: We must know that cross product of any two vectors will result in a vector that has the direction…

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

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Q: Given three points, A(4, 3, 2), B(-2,0, 5), and C(7, –2, 1): (a) specify the vector A extending from…

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Q: B) If u 5i-j+k, v -5j - 5k , w -i-3j+ 2k. Which vectors are perpendicular? Give reasons for your…

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Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Given: a=<a1, a2>=<6, 18>b=<b1, b2>=<-4, -12>

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as…

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Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: Given the vectors u =(-2,3,1) and v=(4,-6,–2) : a.) Determine if the vectors are orthogonal,…

A: u and v are orthogonal if u .v = 0  , and if v = ku ,for any real number k , then u and v are…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as…

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Q: Given the vectors shown, what is the component form of vector b + c? a = (13,15) b = -2a C = (а)…

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Q: Given vectors a = (1,2, –1), b = (2,0,-1), and c = (2,2,1): a) What is 2ä – 35 + č? b) What is the…

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Q: Given three vectors A, B, and C as follows, A = a, + a,2 – a,3, В %3D — а,4 + а,, С 3D а,5 — а,2,…

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Q: Given ā = [1,3,-2] and b = [-2,5, 1] Determine a) The Dot Product of the given vectors b) The Cross…

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly post…

Q: If a = (2, –1, 2) and b = (3, 2, 1), answer the following. Vectors can be entered using either or…

A: Given a=2,-1,2 and b=3,2,1

Q: The area of the parallelogram with vectors R(1,2,-1), P2(4,2,-3), P3(6,-5,2).P4(9,-5,0) is a) 998 b)…

A: Consider the given vectors P11,2,-1,P24,2,-3,P36,-5,2, and P49,-5,0. Use the given vectors and draw…

Q: Given points: A = (4, 9, 1) B = (-2, 6, 3) C = (6, 3, -2) Using norm of located vectors, prove that…

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Q: 8. ABCDEF is a regular hexagon with AB, representing the vector m and AF, the vector n. Find the…

A: Given that: AB→ is representing the vector m and AF→ is representing vector n.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as…

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Q: A regular hexagon has vertices labeled consecutively A, B, C, D, E and F. Which of the following is…

A: Option (B) FB  is correct

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

A: To determine the vector which are,Part (a) ParallelPart (b) Perpendicular

Q: Find the area of the parallelogram with the vertices A(3; 2), B(5; 4), C(4; 1). (Advice: Consider…

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Q: Given vectors: A(6,3,2), B(1,5,6) and C(6,2,0) forms a triangle. Find the length of the altitude of…

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Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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