If v,u & w are any vectors then ux(vxw)=(u.w)v+(u.vw True False If v.u & w are any vectors then u.(v+w)-u.v+u.w Truc O false if Z, Z, are complex number then |Z, Z2| > |Z, ||Z2| False True The midpoint of the segment joining p(3,-2,0) & q(7,4,4) is (5,1,2) True False The angle between x-(1,2,3) and y=(1,-2,2) is cos-1- V14 O False O True

Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: If a statement is true for all nonzero three-dimensional vectors a, b, and c, write "TRUE" on the…

A: TRUE statement is    The cross product is anti-commutative        TRUE statement is

Q: how that the point (1,0,-1) is the centre of the sphere passing through…

A: Let O=(1,0,-1), A=(1,8,-8) B=(-9,0,5) C=(7,-8,-1) D=(-7,0,7) It is enough to show that…

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

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Q: Question 7: [10 points] Let = (-3,2,-2) and 7 = (1,3,5). Find (a) u (the dot product) (b) d(u, v)…

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Q: Let u= (2,-3, 2, 5) and v a- i b- = (1, 2, 0, -4). Find scalars a and b so that au + bv = (0, -7,2,…

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Q: Describe vectors in the xyz-coordinate system

A: Given query is to find the distance of point from the YZ palne

Q: 14. Quadrilateral FGHI with verlices F(O.-2). G(3. 3). H5. -1). and X-1,-6): (-6, 0) F: H': I'.

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Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

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Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: 1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a…

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Q: TRIANGLES AND VECTORS Dot product of vectors given in component form Find (7, 9)-(-1, -8). 品 ロ后仁可…

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Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

Q: - AB = Find the vector in R³ from point A = (5, 4, −6) to B = (–6, 1,9). help (vectors)

A: The given points are A=5,4,-6 and B=-6,1,9. We know that if A=a,b,c and B=x,y,z are two points in…