(I) The directions of vectors à and B are given below for several cases. For each case, state the direction of Ā × B (a) à points east, B points south. (b) à points east, B points straight down. (c) à points straight up, B points north (d) à points straight up, B points straight down.

Q: If A = 10ax - 4ay + 6az and B = 2ax + av, find: (a) the component of A along ay (b) the magnitude of…

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Q: Find the angle made by the vectors A and B given below A=(2,1,3). B=(3,-2,1).

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Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: Two points are given in polar coordinates by (r, 0) = (1.80 m, 50.0°) and (r, 0) = (3.00 m, -48.0°),…

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Q: Find the direction of vector A relative to the + x-axis if Ax = 3.0 m and Ay = -5.0 m.

A: The direction of vector A relative to the + x-Axis is 59.036°

Q: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

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Q: Two vectors are given by (A= 3i+Ay j) and (B= 2i +4 j). if the angle between them is 90°, then ?the…

A: Given:A=3i+AyjB=2i+4jAngle ,θ=90°Now,a.→b→=|a|b| cosθIf ,θ=90° ,…

Q: Given vectors A = (3i + 9j – 4k) lb and B = – 4î – 73 + 10k ) lb, find the magnitude of - resultant…

A: Vector A = 3i^ + 9j^ - 4k^ lb Vector B = -4i^ -7j^ + 10k^ lb

Q: If vector a= (4, -5) and vector b= (-7,-3 4) Find 2a-3b

A: Let i and j are unit vector along x and y axis. if(x,y) be the position of a point so position…

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

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Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }

A: To solve the given question, we will write down the given two vectors in vector form and then we…

Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: If three vectors sum up to zero, what geometric condition do they satisfy?

A: Vector sum is zero

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: Given:   vecter A=<2,4,-6>        vector  B=<2,-5,7> If C = <3,y,4>  Find the…

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Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: Find the direction of this vector. 80.0° B-18.6 m 0 = [?]°

A: Here, we are given with angle of the vector with +y axis = 80o And we know x axis and y axis are…

Q: if A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors is

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Q: Let B = 4.80 m at 60.0°. č and A have equal magnitudes. The direction angle of č is larger than that…

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Q: Can the component of a vector be greater than vector itself?

A: Consider a vector R as shown below.

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

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Q: Find the angles that vector Ď = (2.5î – 4ĵ + k) m makes with the x-, y-, and z- axes. 0x Oy = = 0₂:…

A: GIVEN: D= 2.5i^-4j^+k^

Q: Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the…

A: Answer                +√35  ,  -√35

Q: Find the angles that vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )m makes with the x-, y-, and z axes.

A: The angles vector D makes with axis x, y and z is given by the formula,

Q: The lowest possible value of the resultant of two vectors results when the vectors are parallel. It…

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Q: The resultant of two vectors which have equal magnitudes is another vector of magnitude equal to…

A: The magnitude of the two vectors is the same and the magnitude of the resultant vector is also the…

Q: AvecTar A of Length 10 units makes an angle of 30 with avector B of Length 6units. ind the magnitude…

A: Write the given values of the problem- length of vector (A) A=10 Units length of vector(B) B=6 Units…

Q: - Calculate that [x, y] and [P],

A: In quantum mechanics, position operater, x^ , y^ , z^momentum operator, p^x, p^y, p^zQuantum…

Q: Our vectors P and Q have the same amount.  How can we rearrange them so that the sum of them is…

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Q: Find the angle between two vectors A and B given by : A=6i +4f +2k and vector B=3f -5f-3k

A: Here given two vectors A and  B. Given A= 6i+4j+2k and B= 3i-5j-3k We have to find the angle…

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: Given the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB…

A: Given:

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: Find the angle between vector a and b if a 2i +j - k and b= 3i - 6j + 2k

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Q: If Force (-2,3) and Displacement (-5,-3), find the angle in degrees between the two vectors. O 18.61…

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Q: Find the direction cosines of the vectors whose direction Ratios are (3, 4, 5) and ( 1, 2, -3).…

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Q: 2.) Find the and are resultat inclined of the to each vectors other at having magnitudes of an angle…

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Q: Find the direction of vector A=-29i+53j counterclockwise from the positive x axis.

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Q: If Force = (-5,4) and Displacement (-2,-3), find the angle in degrees between the two vectors.

A: Given  F=-5i+4j  Displacement D=-2i-3j   To Find  Angle between vectors θ