Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC. 6(i+j+k) OD. 6(2i+4j+ 4k)

Q: Perform the indicated operations for the given vectors. v = 3i - 5j w = -7i+4j Find 2v - 5w. Give…

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Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: 4. Subtract the vectors shown. (blue - green)

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

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: Write the vector (-7,- 5) as a linear combination of the unit vectors i and j. (-7,-5) =- 7i - 5j…

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Q: ngle between the vectors -4 and 4. 2. 2.

A: We have to find the angle between given vectors.

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Find a unit vector n with the same direction as the vector v = 3i + 6j − 2k. Explain please.…

A: The answer provided below has been developed in a clear step by step manner.

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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Q: Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a +…

A: We need to find the sum of given vectors.

Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

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Q: Find the dot product of the vectors and the angle between them. i. u=i+2j, v=6i-8j; ii. u= (-3,1,2),…

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Q: Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ /3 j 10. -3i - 5j

A: Given vectors are  7) 3,4=3i+4j8)82,-82=82i-82j9)i+3j10) -3i-5j

Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…