Given vectors A = 2a, + 4a, + 10a, and B = –5a, + as - 3a,, find (a) A + B at P(0, 2, -5) (b) The angle between A and B at P (c) The scalar component of A along B at P aX - ay + 7az ; 98.789°, -8.789 aX - ay + 7az ; 143.26°, -8.789 aX - ay + 7az; 193.26°, -10.789 aX - ay + 7az; 143.26°, 30

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i V=-7i

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Q: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

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Q: Find the angles between given vectors. (a) ā = 3i + 4j and b= 5i – 4j (b) a = 3i +4j - 5k and 5= 6i…

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Q: Draw the vector V that goes from the origin to the given point. (3, -4) y -6 -4 -12 2 -4 -2 -2 -4 y…

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Q: For the two vectors a = 7i-4j+2k and b = –6i+3j-5k find the scalar component, comp,b

A: a=7i-4j+2k & b=-6i+3j-5k Now, a·b=7-6+-43+2-5=-42-12-10=-64 & a=72+-42+22=49+16+4=69

Q: If a = 2i -j+2k and b =i+2j-2k, find two vectors c and d satisfying all the following conditions:…

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Q: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

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Q: 1. Assume the lengths of the vectors 2a – b and a + 3b , assuming a = (2,1,3) and b = (-1,2,2)

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Q: a) Show that the three vectors A = 2i – j+ k , B = i - 3j – 5k, Č =-3î + 4j + 4k %3D form the sides…

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Q: Consider the vectors ā = 2i+3- k, č = i+ j+3k d = 21-j+ k, j = -21- j+ k. Which pairs (if any) of…

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Q: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

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Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

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A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

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Q: 10- With respect to the origin O, the vertices of a triangle ABC have position vectors OA = 2i + 5k,…

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A: x = 3i -3j -7k  y = 12i +3j +11k

Q: H.W 6- Determine which of the following vectors are parallel to A = 4i +6j 1. -4i -6j

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Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

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Q: Let A = 2i + 3j and B = 4i − 4j. Show graphically, and find algebraically, the vectors −A, 3B, A −…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: Given vectors A 2а, + 4а, + 10а, and B %3D — 5а, + a, — За, find (а) А + B at P(0, 2, -5) (b) The…

A: PART A To add different vectors we will add the corresponding values…

Q: Given vectors A = 2a, + 4a, + 10a, and B = - Sa, + a, - 3a,, find (a) A + B at P(0, 2,-5) (b) The…

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Q: Find the angel between the vectors u and v if u=-4i+2j and v=3i+2j Round answer to two decimal…

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Q: If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.