ELE 3. 6. - 1 -2 The acute angle between the two vectors a = and b

Q: Q3:If the two vectors A= 3i +2j + 5k, and B= 2i - j+4k, they located in the x and y plane, find the…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: (11) Three vectors given: a = (1) a+b+c, (2) a.b m 21-3k, b=4i, č-5k (3) the angle between a and…

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Q: Q3/B/ For what value of 2, the vectors 2i – j+ 2k and 3i + 21j are perpendicular?

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Q: Q12) If A = 51 + 6J and B=-4i +J. What is the magnitude C = 6A- B? the vector %3D A) 38.5 B) 41.3 C)…

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Q: For the given vectors: å = (-2,-3), = (1,-2), č = (2,3), find: (a) 3ã – 5 + 2č (b) angle between the…

A: Vector: A quantity that has magnitude, as well as direction, is called a vector. The magnitude of a…

Q: Vector a is expressed in magnitude and direction form as ā = (V30,110° What is the component form a?…

A: Given

Q: Which of the following should be the number d for the vectors a = 2i-dj + 3k and b = 3i + 2j + 4k to…

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Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: Q3) The unit vector in the direction of E=6i+8j is 0.3i+4j. *

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Q: Q.3 Find the cosine of the angle between the vectors: a = 2i-8j + 3k b= 4j+ 3k b= -j-2k b= 2i + 4j-k…

A: The given question is related to vectors. The solution is explained below.

Q: B (15.0 m) D (10.0 m) 30.0% 53.0° 25.0° Č (12.0 m) A (8.00 m) B + D. For the vectors shown in the…

A: Please refer the attached image for complete solution.

Q: Q3/B/ For what value of 2, the vectors 2i - j+ 2k and 3i + 22j are perpendicular?

A: We can use the concept of perpendicular vector their dot product is zero.

Q: 5. D The angle between two vectors a and b is -, Given that /a/ = 3 and /b/ = 4. find (a) /2a + 3b/…

A: Vectors

Q: a – ° and For what values of a and b are the vectors 2 4 equal? a +b

A: Given vectors are: a-b2 and 4a+b. To find values of a and b for which vectors are equal. Solution:…

Q: b) Consider the vectors a = 2i + 2j + k and b = xi + j – k. Find the value of x for which the angle…

A: Given: a→=2i+2j+k, b→=xi+j-k We know that angleθ between two vectorsa→=x1i+y1j+z1k, b→=x2i+y2j+z2k…

Q: Q.3 Find the cosine of the angle between the vectors: (i) a 2i-8j+3k b= 4j + 3k

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Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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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: a/The angle between the two vectors A2 Bz 3 TT 2

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Q: 4 3 Let U 4 and V = - 5 - 3 -2. Find the angle between the vectors (in radians).

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Q: Q3: The following vectors; À =, B = 1- Find the cross product 2- Find the angle between Ā and B. 3-…

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Q: of c. Calculate the angle made with the positive direction x-axis by the vector (a) v= 3₁ + 4j (b)…

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Q: 3. Find the angles a, ß,y, which the vector Á = 3î – 6î + 2k makes with the coordinates axes and…

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Q: Q.3 Find the cosine of the angle between the vectors: a = 2i-8j + 3k a =i+2j-k a = 4i + 2j-k b= 4j +…

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Q: 3 1 2 l a unit vector that is perpendicular to both ū an

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Q: The inequality a ob < 0 imples that the angle between the two vectors is O obtuse O the right angle…

A: From given information

Q: The angle between two vectors A = B = -1 0 cos Ө Ө -A 39 (²2) - B 75. 39 -1 = COS - C 5625/ not of…

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Q: Q1. For vector A (5i+2j-7k) and vector B (6i-4j+6k), Find (A) 24 - 3B ? (B) The value of A and B ?…

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Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: Find the direction angles of the vector & = (2, –1, 3) %3D A. a= cos В. (쓸) (뿌). (2). С. G), 8= cos…

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Q: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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Q: Q2: If it wasA = 3i -j+2k , B = 2i + 3j -k find 1. 4Ã + 2B 2. ÀxB 3. The angle between the two…

A: we know thatA→=ai+bj+ck=a2+b2+c2sinθ=A→×B→A→B→A→×B→=ijkabcnlmwhere…

Q: Q3: Find the angle between two vectors in space A = 41 – 2J – k and B = 4T – 2J + 4k (5 marks)

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Q: Q.3 Find the cosine of the angle between the vectors: a = 2i -8j + 3k a =i+ 2j-k a = 4i + 2j-k b =…

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Q: For a = 1-2 j vectors a and b (a. Find a b • b = 3; + j (6) Approximate (to the nearest tenth of a…

A: We have to find angle and dot product

Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when |-5V3A x B = 5Ã.B

A: To find the angle θ between vectors A and B. It is given that,

Q: f= 1 √√x² + y² + z² 13. Find Vf if 14. If the angle between A = xã, + â andB = V3â, +ây is 60°, find…

A: Given function           f   =1x2+y2+z2 = x2+y2+z2-12       now   we know that       ∇f  =…

Q: PART I QL.If A = 2a, + 2a, – a, and B = 3a, + 2a, – 6a, are vectors, find (only two): %3D (a) A -B…

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Q: If A C =-8.4, A = 3i-4j, and C =6.5, the angle between the two vectors when they are drawn starting…

A: Let θ be the angle between the two vectors

Q: b. Repeat the above solution if the two vectors A and B given at a point P(r, 0, D) in space reduced…

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Q: Question in Image.

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Q: (L1) 1. To the nearest tenth, find the angle between the two vectors below. v = 3i – 2j w = 2i + 2j…

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Q: Q10. The angle made by vector A = ax- ay + 2 az and X-axis Select one: 109.47° Ob. 65.91 0 48.19° d.…

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Q: 5. Given two vectors a = and b=. Find (i) (a + b). (ax b) (ii)the angle between a+b and axb.

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Q: Find the angle O between the vector S -5 and -3 -4 Answer in rodians

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Q: Q.3 For what value of m, the vector 4i + 2j - 3k and mi - j+ 3 k have same magnitude?

A: The magnitude of a vector is the distance of the point whose coordinate is represented by the given…

Q: 4) If p = 6i+7j-2k and q = 31-j+4k, find: a) p x q b) the sine of the angle between vector p & q. c)…

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Q: Solve the problem. Which of the following vectors is parallel to v = 9i + 5j? 15 W = - 25 3. W = 15…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.