Find the modulus = (ii) -1+3i 2-7 O Locate the numbers Z,+7 and Z,=Zz Vectorially when : + bi) ž,- (-JE),Z,=(UB,0).

Q: Find the unit vector in the direction of <4,2>

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Q: Question 6 Let A' = [-4 16 8] and B' = [-1 x² 21 For which real value(s) of x are vectors A and B…

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Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: 5. Express u = (-4, 3, —2) using the unit vectors.

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Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

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Q: Which matrix could be used to rotate a vector 64 degrees clockwise about the origin? cos (-64) sin…

A: we have to find  matrix could be used to rotate a vector 64 degrees clockwise about the origin.

Q: Find the length of the vector x=x= |x|=|x|=

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Q: (1 point) Express the vector = 8 as a sum of the basis vectors x = and y = %3D -13 xt j. = Netes V

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Q: The vector v has initial position P and terminal pet P (2, 5); Q=D (-5,-1) v 7i+ 6j Ov- 6i+ 7j…

A: Let's Solve, Answer: Option D

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Find the vector in component form with initial poi

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Q: Compute the distance between the vectors u = and

A: Given vectors are u=42−16 and v=4315. We have to find the distance between the vectors u→ and v→.…

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

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 u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Find a unit vector in the direction of

A: Given that,   vector = <6, 3, 2> = u¯ (Say)   Unit vector = u¯u = <6,3,2>62+32+22 =…

Q: Find a unit vector in the direction of

A: Let us consider the given vector as,

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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