-2 Let i -4 be a vector in R³. -2 Find the length of vector -3. || – 37|| -

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line…

A: Solution : Given that the lines l1 : 4,4,-3+t2,1,-1l2 : -2,-7,2+s3,2,-3

Q: 9. Let b, and b, be any real numbers with | b, |31 and | by151. Let u- VI - bịi + b, Vĩ – bị j +…

A: Consider the given vector: Here the objective is to prove that the given vector is a unit vector.

Q: Find the value of k for which the vectors 2 1 2 and -3 5 k are orthogonal. k =

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Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: For any two vectors ū and i, ||ū + u|| = ||ū|| +||7||-

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Q: Suppose vector F represents a force (measured in pounds) and d represents the displacement of a…

A: Given that vector F represents the force (in pounds ) and d represents the displacement of  a…

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: give vector form for the solution

A: Here we have to find the vector form

Q: DODH

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Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: a State the condition(s) that a, b, c, and d must satisfy for the vector b to be 1 1 -1 and spanned…

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Q: 6. Let A -1 8. Show that the vector is in col(A). %3D 1 -2 1 1 2)

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Q: [1 -1 5. Find a vector x + 0 such that 2 | 1 4 = 0. -1] 3 x = 8 1 2 6. Solve for x: 2 2 5 x = 3 07

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Q: -1 X1 Let v = Find a vector x = x2 such that 3v +x = |2|

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Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

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Q: V= Express the vector v x+ 6 -24 y. as a linear combination of and y - 5 3

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