86. A force 51-21 +3k acts on a particle with position vector 21+1-2k. The torque of the force about the origin is (A) 1+16] +9k (B) -Î+161-9k Sj 1S+1] [1+S) [+ (C) i +16] -9k 10 (D) -Î-161-9k (9)) =X (0)

Q: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

A: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: A particle moves in two dimensional space where i and į are unit vectors in the x and y directions…

A: given  r→=6t-4t2i^+2t j^ a) write down the particle's velocity vector in component form. ii) find…

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: . Consider the following vectors 7 -3 b₁ ( 1 ), b₂ = (-1), G₁ = ( 1 ) ₁2 = (-²). C1 , 5 2 and…

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Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

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Q: Q1: You have the following vectors: U= 6 2 4 V= 3 -2 3 0 3 W = -4 Z- 2 2 2 Which of the vector…

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Q: 6. For the vectors i and i given in problem 1, verify using the dot product that your answer for…

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Q: How did you get the vectors and to get a cross product for a perpendicular vector to i+j and j+k.

A: How did you get the vectors <1,1,0> and <0,1,1> to get a cross product for a…

Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: (b) (5 marks) Let u = 3i - 5j, v = -2i + 7j, Show that (u +v) (u - v) =||u||^2- ||v||^2

A: It is given that u=3i-5j and v=-2i+7j It is known that if A=ai+bj then A=a2+b2 Now find out the…

Q: Obtain Vector v = 3î+ 4ftransformed with -1 1 3 2 –4]

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Q: Vektor m =[5, -2, 1] Vektor n =[-6,-2, 4] a. find vektor p where p = -2m+0.5n b. find vektor…

A: a) write p in terms of m and n with the given relation p =…

Q: (a) Express the vector a × b in the form aa + 3b + yc, assuming that the vectors a, b and c are not…

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Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: 1. Find all solutions to the vector equation (:) --( ) --( ) -()--() 14 22 12+

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Q: Consider A= (0, 4, 2), B =, (6,-1,0) and C = (3, 0, 1). 1 (a) Find the unit vector having the same…

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Q: Ud (2) Find the work of the force F = 3i+2j - 4k, displaces an object from P(1,-1,2) to Q(2,-1,3). 3…

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