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 + 3k b = -j-2k b = 2i + 4j-k (i) (ii) - (iii)

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: Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. %3D Find unit vector parallel to 3 a -2 b +4…

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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: 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. For the vectors = (-3, –4) and v = (-2, 2) Find the dot product u · v, and the angle 0 between…

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

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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: 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: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

A: Given, X = -i + 3j  and Y = 4i -2j + 2k

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: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

A: Let the given vectors be  u→=3i-4j+5kv→=4i+5j-6k we have to find the unit vector perpendicular to…

Q: 6. Find the magnitude of the resultant of two vectors u and v, given u=2, y =7 and the angle between…

A: We have to find the magnitude of the resultant of two vectors and v and the angle between the…

Q: Which one of the following vectors is perpendicular to the line L: 2x +3y- 6= 0 O 2i- 3j O 21 3j

A: concept:  a line ax+by=c has perpendicular vector <a,b>

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Q3) Choose the correct answer for the followings: i. if z = (1+i tan®)/(1 – i tan0) then |z| = а. 1…

A: Solution of the problem as follows

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/A/ If ā = i - 2j + k, b = i+ 2j – 4k and č = 2i – 3j + k Find: i) (ā x b). (ā x c) ii) (ā x 5) x…

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Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

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. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

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Q: Q3) If A -3i + 4J – 5k and B= 5i-6J +7k find the unit vector which is perpendicular to these two…

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Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

A: According to the given information, it is required to calculate the dot product and angle between…

Q: Q1) For the two vectors: A =3 ax -2 ay, B= ay + az find: 1) 2Ax – Bx 2) the angle between A and B 3)…

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Q: A=4+J1 and B=2+j3 respectively determine the sum and the difference of the vectors in both…

A: Concept: Complex numbers: Complex numbers are two-dimensional complex or s-plane points that are…

Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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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: 1. The two unit vectors parallel to the line y = 2x 1 are | and 2. The two unit vectors parallel to…

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Q: Q1A)The vectors A=i-j,B=j-k, and C= 3i-k, find triple dot (AXC).B . B)Convert = cos ¹(r-1).

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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: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

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Q: 1. Find the angle between two vectors u = i-2j - 2k and v= 6i + 3j+2k.

A: Given two vectors u→=i-2j-2k and v→=6i+3j+2k. Here find the angle between two vectors.

Q: 3 The vectors a and b are defined by a - and Given that a + 2b = Si + 4j find the values of p, q and…

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Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: 1. The two unit vectors parallel to the line y 5x + 2 are and 2. The two unit vectors parallel to…

A: 1. Put x=t, then y=5t+2 and the parametric equation of the line is rt=t,5t+2=0,2+t1,5 and parallel…

Q: 4. If the position vectors of points T and S are 3i – 2j+k and 4i + 6j+2k , respectively. Find (a)…

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Q: Ql For the vectors A=3aX-20ay + az. B=-5ax Find the O AXBXC B A.BXC © the smallest angle between…

A: Given that the vectors are       A = 3ax-2ay+az,      B = -5ax      and     C = -8az

Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: Q.2 For the twa Vectors A i-3 -2k B = 3i +šj +7K

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Q: Find the angle between the vectors i + j + 2k and 2i - j +k

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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.2 Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k.

A: Vector whose magnitude 5

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: 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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