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

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

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Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

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Q: find the acute angle between the given linesby using vectors parallel to the lines. 2 - x + 2y = 0,…

A: 2-x+2y = 0⇒2y = x-2⇒y = x-22⇒y = x2-1             --(1)So, vector parallel to (1) is a→ = 12i ,…

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: Let 0 be the angle between vectors A and B, find the value of the angle 0 when -6V3A × B = 18Ã. Ē

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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: Find the positive value for which the vector r(t) (2t, 9t?, 10t2 – 2) is perpendicular to r'(t). -

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Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: nd the angle e (in degrees) between the vector u = 5i - 3j v = -5i - 5j

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Q: Q2/ A) Knowing that A = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: Q2) if the vechrs V=-i +5 and ū=Tz i+5J+2 R Find a) The scalev component of ū in the divection of V…

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Q: Q7/ For the following two vectors u= -i+ 3j + k V= 4i + 7) Find the angle between them by using: a-…

A: If u and v are two vectors, then the angle between them by dot product is: cosθ=u·v|u||v| If u and v…

Q: Q2: write down a unit vector in XY plan making angle of 30° with the positive direction of x-axis?

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Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

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

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Q: Let the cosine of the angle between the vectors p and q be à such that 2p + q = i + j and p + 2q =…

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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: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: For the pair of vectors, find U•V. U = 4i+j V= 3i-j O 8 O 12 O 13 O 1 O 7

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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: Find the angle a between the vectors 5 2 and 1 a =

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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: Ã = ë, + 3ểy – 2ể, : Calculate the angle between the B = 4ëx – ëy : vectors A* and B". = -3e, - 5ẽ,

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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: Q2/ A) Knowing that A 2i+mj+k & B-5i+j+ 4k are perpendicular vectors. Find the value of m then find…

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Q: Q/ B/ If vector A = 3i – 2j + 7k and B = -i+j- 3k , find the area of triangular between vector A and…

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Q: -) THREE VECTORS A, B, AND C ARE RELATED AS FOLLOWS ! A AT 180°, A +C =-5+j15, 2 C = CONJU GATE OF…

A: Solution :-

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: Q3:1r the two vectors A= 31+2j+5k, and B=21- j+ 4k, they located in the x and y plane, find the…

A: To find The angle between the two vectors

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: Q2. Find the angle between the vectors and .

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Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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

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Q: Q2 A) Knowing that A = 2i + mj +k & B -5i +j+ 4k are perpendicular vectors. Find the value of m then…

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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: Find the positive t when the vector r(t) = (7t, 6t², 9t2 3) is perpendicular to r'(t). - t =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Q2. (c) Find the unit vector u that has the same direction as v= (2, 2, -1).

A: Given; vector v=(2,2,-1)

Q: Given the vectors v=i+3j w = 4i - j

A:

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.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.