Express the vector as a product of its length and direction. 6i + 12j+ 12k 1 2 2 OA. 18 +3+3k OB. 18 1 54 1 + ―k 27 O c. 18(i+j+ k) OD. 18(6i + 12j + 12k) 27

Q: Two vectors a and b are given as a=i+2jandb=3i + j +2k ,find the vector product axb is A. 3i- j-5k…

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Q: 43. Explain the differences between vectors and scalars. Provide an example of each. 44. Copy the…

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Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

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Q: Find the specified vector or scalar. u = -5i - 2j, v = 9i + 7j; Find u - v. O -14i - 9j O 4i + 5j O…

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Q: 2. Determine whether the expression is defined or undefined. If it is defined, then determine…

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Q: Find the magnitude of the vector. (-3, – 7)

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Q: Pick all the vectors, or symbol that indicates a vector. O p(1, -2, 3) Ou Ov X u O 32 mi/hr O 5/-/ +…

A: Vector- A physical quantity which has magnitude as well as direction is known as vector. Example-…

Q: Preform the indicated Operations for the given vectors. v= w= s= r= s+w

A: for the addition of the two vectors we add the respective components of given vectors. i.e,…

Q: Show that the vectors are orthogonal.

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Q: Find x so that the vectors u and v below are perpendicular. 0 -7 u= 7 44 V= x -4 -7 x=0

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: a. Find the coordinate vector for each vector in the figure. ■ā= b= ■ ■= b -6-5-4-3-2-1 OK 6 5 4 3 с…

A: Solution is given below:-

Q: For the following vectors, Find A. uxvxw (cross-product) B. w.u.v (dot product) C. wxv…

A: Vectors,u=5i+3j-7kv=-4i+2j+7kw=3.5i-4j+6k

Q: Determine if the given vectors are orthogonal. a. v = 3i – 6j and w = 8i + 4j b. s = -2i – 5j and r…

A: Consider the pair of vectors  a)v=3i−6jw=8i+4j b)s=−2i−5jr=−4i+8j

Q: On the grid below, draw the following vectors: a = −2i+3j b = -4i+2j c=5j

A: Given

Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

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Q: Rewrite each vector in component form a. OP = 5j + 3k b. OQ = Zi – 4j + 7Ř %3D

A: Given, Vectors OP = 5j+3k OQ = 2i-4j+7k We have to rewrite each vector in component form.

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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