Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i - 2j + 6k

Q: Find the length of the vectors (a) 2i⃗ +3j⃗ −k⃗

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Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: Find each of the following Given: u = ; v = ; w = 1. u.v 2. (u.v)w 3. u.(2v)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: -31 - -4 5 Given the vectors vi = 2 v₂ = 2 and √3 = -4 determine 4 - 2 " Why would you not do the…

A: To determine the value of v1​​×v2​​⋅v3​​, we need to follow the steps for the vector cross product…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors V₁, V₂, and v₂…

A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Suppose a, b, c are vectors in R³ for which Then (22a) ((14b) x (10c)) = Check det[a b c] = 2 Which…

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Q: Consider three vectors A 6) (a) Find A (B+C). Fnl A C) Find A (8C) i Find Bx(A-C)

A: Here we have  A=4i+6j-2kB=2i+7j-kC=0i+3j+5k i) find A·(B+C) ii) find A·(B×C) iii) find A×(B+C)

Q: Are the vectors 16 + 16x – 12x2, linearly independent + - 12 – 12x – 12x2 and 18 + 18x – 3x2…

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Q: 12 2 14- = -3 are 3 Determine if the pair of vectors V₁ = 3₂ orthogonal.

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Q: ) Given two vectors: A = 21-3ĵ+ A = 21-3j+7k 7k 2) B Find 1) B B = 2i+j-2k 3) AxR

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v., v, and v…

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Q: Given the two vectors a = i-2j+3k and b = 3i-2j+3k, Find the area of the parallelogram whose…

A: The vector a is given as a = i-2j+3k. The vector b is given as b = 3i-2j+3k.

Q: Q2/ If A=ai+bj+3k, B= 2i+3j+4k, C-i+j+6k are vectors , perpendicular to B and A is perpendicular to…

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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