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

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: 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: What is the angle between the two given vectors?   A=4i + 12 j + 6k   B=24i -8j +6k

A: Given,            The two vectors are A→=4i+12j+6k and B→=24i-8j+6kWe know that,            The…

Q: The vectors A 5i + 7j – 8k and B 3i + yj + zk are known to be parallel. Find y and 2 y = = Z

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Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

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Q: Find the angle 0 between the vectors a = (v3, –1) and b = (0, 13). Answer (in radians): 0 =

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

A: Vectors

Q: Q8. Find å – b, given that d = 4i – 3j + 2k, b = 2i – 4k %3D Find the angle between the two vectors.

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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: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

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Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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

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Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

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: Find the angle between the vectors u = 4i – 2j and v= 3i– 4j – 5k. The angle between the vectors is…

A: We have to find the angle between the vectors u=4i-2j and v=3i-4j-5k Angle between vectors u and v…

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: Find the angle between the vectors ū = 21– 35 and V = 2i+45.

A: To Find the angle between the vectors u = 2i-3j and v = 2i +4j. Explanation:- The angle between two…

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

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Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle…

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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: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

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: 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. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

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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: Q2. Find the angle between the vectors and .

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Q: and D. Find the values of x such that the angle between the vectors is 90".

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

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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: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

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: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…

Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.