Two position vectors are given by Á = (4.00m)i - (2.00m)j - (3.00m)k and B= (4.00m)î - (5.00m)k. What is the scalar product of (3A) B? O (16.0m?)î + (15.0m2)k O 31 m2 (48.0m?)i + (45.0m²)k 93 m2 None of the above.

Q: The following two vectors ä = i + 5j – 3k m and b = 5i – j+ 2k m form two edges of a triangle when…

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Q: Vector A = 2.00i+ 3.00j Newtons. Vector B = 4.00 i +1.00 j meters. What is the angle (in degrees)…

A: Lets represent vector A as A and its magnitude as A ,  similarly vector B as B and its magnitude as…

Q: 42. For the two vectors A = 4.0i + 3.0j + 2.0k and B = –1.0i + 2.0j + 1.0k, calculate A · B and A ×…

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Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +k The magnitude of 2Ñ – Mis A) 39.2 B) 7.07…

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Q: 4) Two vectors, A= 2x 3y and B= 4x 4y. The magnitude of A+B is: A) 4.3 B) 5.1 C) 7.8 D) 6.4 E) 9.2

A: A→=2x^-3y^B→=4x^-4y^where x^ and y^ are unit vectors along x and y directionso…

Q: AB- AB sine, where @ is the angle between the two vectors

A: Remember the vector law and formulas

Q: Two vectors are presented as a = 6.0i + 4.5j and b = 5.5î + 2.5j. Find the following. (Hint: For…

A: Given that:a→=6.0i^+4.5j^b→=5.5i^+2.5j^

Q: Vectors A and B are given by: A = 40.62i+ 85.71j B = 81.48i + 13.19j Find the scalar product AB.

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Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: YA 7. X B = 5.0 53° A = 10.0 30° î+ A d. (D × F) · (B × Â) - [ = D 37° + C = 12.0 60° D = 20.0 F 10…

A: Converting each vectors into components : A→= 10.0 at 30° from +x-axisA→=10×cos 30° +10×sin…

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: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +.§ The expression 2N – M is: A) -12i- 36j +…

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Q: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: Obtain expressions in component form for the position vectors having the polar coordinates (a) 12.8…

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Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

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Q: The scalar product A · B of the two vectors A = 2i + 3j and B = i - 2j is O 8 k O -4 k O 2i - 6j

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Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j + k The magnitude of 2N - Mis A 7.07 B 39.2 C…

A: Given: M→=-3i^+6j^-5k^N→=-2i^+3j^+k^

Q: Given two vectors: M = -31 + 6j – 5k and N = -21 + 3j + k %3D %3D The magnitude of 2Ñ – M- A 39.2 B…

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Q: Vectors A and B are given by: A = 89.23i + 32.22j B = 57.28i + 1.98j Find the scalar product AB.

A: Given: A=89.2i+32.22jB=57.28i+1.98j

Q: Here are three vectors in meters: d→1=-6.50î+8.40ĵ+9.60k̂ d→2=-2.00î-4.00ĵ+2.00k̂…

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Q: Let S =(−1m)i+(2m)j−(3m)k and T =(4m)i−(6m)k. The angle between these two vectors is given by

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Q: Vectors A and B are given by: A = 90.32i + 46.07j B = 4.43i + 98.29j Find the scalar product AB.

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Q: 8. Vectors A and B are shown below. What is -5.00A + 4.00B ? B 5 4 3 -2 2 3 4 $z A

A: The position vector A will be, A→=-3i⏜-3j⏜ The position vector B will be, B→=-2i⏜+4j⏜

Q: Given two vectors: M = -31 + 6j – 5k and N= -2î + 3j + k The expression 2Ń - M is: (A -12i- 36j +…

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Q: Given two vectors A = (3Î – 2ĵ + 5k) and B = (6î – 7ĵ + 4Êk) find: (a) A²; (b) B²; (c) (A · B)².

A: A= 3i - 2j +5k  B= 6i -7j +4k

Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j +k The magnitude of 2 – Mis (A 202 B) 7.07 6.08…

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Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: 38 ao For the following three vectors, what is 3C (2Ā × B)? A = 2.00i + 3.00 – 4.00k B = -3.00i +…

A: The three vectors,

Q: | Two vectors are given by these expressions: Ä = -3i+7j- 4k and B = 6i – 10j+ 9k. Evaluate the…

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Q: The angle made by the two vectors 3 = 3î + 43 +5k and M = 31 +47 +5k j A) 90 B) No Answer c) 180 45

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Q: Consider two vectors, A = 14.3 m at 36.0°, and B = (-8.90î + 2.50j) m. %3D

A: Given data

Q: Consider the two vectors A = 5 î – ĵ and B = - î – 6 j.

A: As the operations in two vectors A→ =  a1i⏞ +a2j⏞ and B→ = b1i ^ + b2 6j^A→ + B →=a1+ b1 i^ + a2 +…

Q: Three vectors, a = 6î +2ĵ – 4k , 5 = -3î +4 j+ 2k , č = 6î +7}+3k, Find the following: а) За b) с хь…

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Q: The three vectors in the figure have magnitudes a - 3.20 m, b - 3.20 m, and c- 10.2 m and angle 8-…

A: Given that--- The three vectors in the figure have magnitudes a - 3.20 m, b - 3.20 m, and c - 10.2 m…

Q: Compute the x- and y-components of the vectors vec A vec B , vec C , and overline D in the Figure

A: To determine x-  and y-components of the vectors vec A vec B , vec C , and overline D as shown in…

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: Three vectors are given by: d = lî + 2j – 4k. ä = 21 – 3j + 5k, 5 = -21 + 7j – k and Find A, so that…

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Q: Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the…

A: Given, M = -10ax +4ay -8azN =8ax + 7ay - 2az

Q: Given two vectors: M = -31 + 6j – 5k and Ñ = -21 + 3j + k The expression 2Ń - Mis: -i+7k B -121-36j…

A: According to question we need to find 2N-M.

Q: ectors A and B are given by: A = 24.15i + 22.01j B = 80.63i + 23.67j Find the scalar product…

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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: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

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Q: d = 21 – 3j + 5k, b = -2î + 73 – k Three vectors are given by: č = lî + 2j – 4k. and Calculate the…

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Q: results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3

A: As per rules... First three parts are posted.

Q: These are the component forms of vectors u and w: ū = (–4, −3) = w = (-1,5) Add the vectors. u + w =

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Q: 11. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i -j - 2k C = -i + j - 4k D =j-3k E…

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Q: %) Problem 5: Consider the following vectors: A 4.6i+ 1.4j + 3.4k B -6.5i + 7.1j+ 10.2k

A: Given A̅ = 4.6 î + 1.4 ĵ +3.4 k̂  B̅ = -6.5 î +7.1 ĵ +10.2 k̂

Q: Three vectors are given by a = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.00î + (-1.00)ŷ + (3.00)k, and ? =…

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