The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

Q: Find the length of the vectors (a) 2i⃗ +3j⃗ −k⃗

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Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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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: Given the two vectors A = -9i- 2j -7k and B = -3i- 4j +8k, Find th (e) Ax B (f) the angle between…

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Q: Given vectors v=3i-5j, and w=-2i+3j, calculate the following: A) 3v-2w B) ||v-w||

A: The given vectors are

Q: Find the area of the parallelogram that has the vectors as adjacent sides. AB= 6i + 6j - 6k, AD = 6i…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are find the cross product

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: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point -6,-9 in the same direction

Q: If the position vectors of P and Q are i + 3j- 7k and 5i- 2j+ 4k respectively, find PQ and determine…

A: The equation of the line, PQ passing through the points P and Q is defined as follows.…

Q: a vectors p = (2) and t = (,).

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Q: PQRS is a parallelogram and X is on the side QR. If vector PQ=3i+j, and  vector XQ=2i+j. find PX.

A:

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: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

A:

Q: If v = 5i + 4j, find each of the following vectors: a. 6v   b. -3v.

A: v=5i+4j a. 6v=65i+4j=6·5i+6·4j=30i+24j

Q: B- For what values of a1 are the vectors [a1,4,3] and [3,-2,12] are 1) Orthogonal? 2) Parallel? 3)…

A: Angle between two vector

Q: Find the angles between given vectors. (a) ā = 3i + 4j and b= 5i – 4j (b) a = 3i +4j - 5k and 5= 6i…

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Q: Suppose vectors v, w, and z sum to the zero vector. If v = 8.2i - 3.8j and w = 4.1i + 1.3j, find z.

A: We have to solve

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: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

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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: Q.6 If vectors 3i +j-k and å i - 4j + 4k are parallel, find the value of 2.

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Q: Given the three vectors A = (3, 1, 1), B = (2, -1, 1), C = (0, 1, 2), find (AxB)xC %3D

A: The vector can be multiplied using the scalar product or dot product and vector product or cross…

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: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: For what values of a and b are the vectors 4= (2a-b, -1) and v (41 3a -b) equal ? write your ans…

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Q: Given the vectors a=(-1,5,-4) and b=(2,-7,2) find the vectors x € R3 , with magnitude v371 and…

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Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: If a and b are two non-parallel vectors and the position vectors of P, Q and R are a + 2b, 1/2a +…

A: answer

Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

Q: Given the vectors, a = (4,-5) and b = -10i -8j: %3D a. Find a - 2b.

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: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

Q: 36) Find the values of x and So the vectors 2i+3 and xi +4j are equal.

A: Two vector are equal if and only if their magnitude are equal and have same direction.

Q: If v = 7i + 10j, find each of the following vectors: a. 8v    b. -5v.

A: The given vector is, v=7i+10j   Multiply the vector by the scalar quantity 8. 8v=87i+10j=56i+80j…

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: 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: (B): Find the unit vector 3i - 4j + 5k perpendicular to the vectors: 4i + 5j-6k

A:

Q: Find the position vector of the point of intersection of the line joining the points whose position…

A: Given: The position vector of the points 5i^-4j^ and -3i^+4j^; -13i^+4j^ and -5i^+j^

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

A:

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: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

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Q: Given the vectors i = - 2i - 6j and v = 8i – 5j, perform the operations below. u + =

A: Vector problem....

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: Q3: Find the angle between two vectors in space A = 41 - 2J-k B = 4T - 2J + 4k and

A: We need to find the angle between vectors A=4i¯-2j¯-k¯  and B=4i¯-2j¯+4k¯ for this we will use the…

Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: Which pairs of vectors are parallel? Select all that apply. OA. 10i – 15k, –4i + 6k В. 3і + 4j, —12i…

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Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.