Show that the force vector B = 2î – 4ĵ + k is orthogonal to the force vector ở = 3î + 43 + 10k. [2]

Q: Find the angle between each of the vector pairs: A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A…

A: Given vector pairs   A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A = 3.00i + 5.00j and B = 10.00i…

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A: Plane passing through the point (0,2,-3) and with normal vector 4i - j -2k means perpendicular to…

Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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Q: Consider the vectors A = 6i + 3j and B = 3î - 6j.

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Q: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: The vector orthogonal to 8 +7 and 8 +8 is

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Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).

A: The difference vector between the two vectors is,

Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.

A: …

Q: Given two force vectors F = -24î + 63 – 17k F, = 102 – 173 + 24k . and Fill in the blanks to make…

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Q: Find the resultant of the two vectors of A = 2.45 N, 15.5° N of E and B = 9.51 N, 38.5° E of N,…

A: Given: The magnitude of vector A is 2.45 N. The direction is 15.5 degrees North of East. The…

Q: Find the angle between the two vectors Ả = 2 î + 3ĵ + k B = -4 î + 2ĵ – k and

A: Given  A=2i+3j+k B=-4i+2j-k

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: Find the angle between vectors for (a)D= (-3.0i – 4.0j ) m and A = (-3.0i + 4.0j ) m and (b) D =…

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Q: Two points are given in polar coordinates by (rθ) = (2.00 m, 50.0°) and (r,θ) = (5.00 m, −50.0°),…

A: Given: (r, θ) = (2.00 m, 50.0°) and (r, θ) = (5.00 m, −50.0°)

Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

Q: What is the angle e between vectors à and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

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Q: The distance vector from pointA (2, –3,1) and B(1,5, –3)

A: given point A =( 2 , -3 , 1)  therefore A→= 2ax-3ay+1az. point B = (1,5,-3) B→= 1ax+5ay-3az.where…

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: Find the angle between two vectors C= 2i+3j+k and D= 2j-4i-k *

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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: What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O…

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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: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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

A: If θ is the angle between two vectors A→ and B→, then cosθ=A→·B→A→B→

Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

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Q: find (a) 2u + v and (b) 5u - 2v.

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Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

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Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: Two points are given in polar coordinates by (r, ?) = (2.60 m, 50.0°) and  (r, ?) = (3.00 m,…

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Q: Three points, A, B, and C, exist on an XY-plane. The positions of points A and B are (3,1) and…

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Q: Fill the table below. Write down your answer on your notebook and check your work afterwards. N B.…

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Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate

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Q: Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ =…

A: Given The force vector D ⃗ = (2 î − 4 ĵ +1 k̂) N. The force vector G ⃗ = (3 î + 4 ĵ +10 k̂) N. If…

Q: What is the angle between vectors = 4+ 8 and Express your answer as an angle in degrees between 0 VD…

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Q: What is the angle between theses two vectors A = 14i – 5j+11k and B= 3i + 7j + 10k ?

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Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

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: Compute the orthogonal component of F - 6i + 20j- 12k lb in the direction of the vector A 2i -3j+5k…

A: Given data:   F→=-6 i^+20 j^-12 k^ lb A→=2 i^ -3 j^ +5 k^ ft

Q: Find the angle between the following pair of vectors;  A=-4.00i + 2.00j and B = 7.00i + 14.00j

A: The angle between the two vectors is cosθ=A→·B→A→B→ Here A→ and B→ vectors.

Q: Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and…

A: Given: First vector (v1)→ = 2i^ + 9j^ - 9k^ lbSecond vector (v2)→ = -2i^ - 6j^ + 8k^ lbThird vector…

Q: Let be two vectors, such that a=(3+2j-2k) cm and b=(2î+2j+k) cm, calculate: 1) The angle between the…

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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: Show that the vectors A = 2i-j+k, C=3i+4j + 4k form the sides of a right triangle. Bi-3j-5k

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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: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k

Q: Two points are given in polar coordinates by  (r, θ) = (1.80 m, 50.0°)  and  (r, θ) = (4.00 m,…

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