A vector v has initial point (0, 0) and terminal point (3, -6). Write v in the form v = ai+bj. V = i j

Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: Write the vector u = (2,10) in i, j form. Written in i, j form, the vector u = (2,-10) =

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Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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

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Q: Let v be the vector from initial point P, to terminal point P2. Write v in terms of i and j. P, =…

A: Now we will find the V using the formula  V = ( X2 - X1) i + ( Y2 - Y1) j

Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: = (2, -1) and v= (-2,3). Sketch u and v. Then sketch (show how the vectors are adding up) and…

A: Given, u=2,-1,v=-2,3

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: Let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j. P₁ =…

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Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: Find a vector that is orthogonal to v. v=

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

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Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A: Given vector is -8, -4, -9 We have to find a unit vector u in the direction opposite of the given…