Given the vectorsA = (2,−4) and B = (−3, 6) in R². How many pairs of real numbers r and s satisfy the equation rA +sB=0? O only one none more than one cannot be determined because the equation does not make sense.

Q: 2 (Recommended) Find the largest possible number of independent vectors among = 0 0 0 0 -----------…

A: The objective of this question is to determine the maximum number of independent vectors among the…

Q: 10 -00-0 7 12 5 -8- Are the vectors 6 and linearly independent? Explain! 8

A:

Q: 1. y -2+ 2.

A:

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

A:

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: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

Q: 15m Please explain how to get the i, j, k, vectors of A, B, and C.

A: To find the vectors A, B and C.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

Q: Find a non-zero vector perpendicular to the vectors and ú =

A:

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

A:

Q: {(0, 1,-1), (1,2, ).( 3,-1,4)}

A:

Q: 18 as a linear combination of a and y Express the vector v y.

A:

Q: -54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

A:

Q: Suppose we know that Write A 6 as a linear combination of the vectors 5 8- 5 6 = 0 H + 6 1 1 -DE-B H…

A:

Q: 4

A: We are given the following vectors.

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

A:

Q: 3. Add the vectors shown.

A:

Q: 2/ find vectors that Span of A A = 1 1 25 139 Kernel

A: NOTE: Refresh your page if you can't see any equations. . convert the given matrix into RREF

Q: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

A:

Q: Find the stable vector of 7 P = 2/7 M5 iii

A:

Q: Find the cross product of the vectors ä = and b = .

A:

Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

A:

Q: 1 Let a =-2 and b = -2 | be two vectors. 1 What is |a2|b|2+ |a · b? ?

A: Given that:a=2-21 and b=1-22

Q: V•U Compute u. u, v. u, and using the vectors u = u u u U= (Simplify your answer.) -5 ... and v= 6 3

A:

Q: 4.) Are vectors Linearly independent? 2 3

A:

Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

A:

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

A:

Q: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

Q: Determine by inspection the linearly independent vectors !! O a. O b. O C. с. -8 12 4 -2 2 5112]…

A: To determine by inspection the linearly independent vectors.a -812-4, 2-3-1, 000b 51, 28c 4-26, 6-39…

Q: (-9,6) Use matrices to reflect the vector the line y = x. ove

A: Topic:- algebra

Q: State whether the vectors are parallel, orthogonal, or neither. v = 2i + j, w = i - 2j O Orthogonal…

A:

Q: 6. What are the advantages and disadvantages of algebraic vectors compared to geometric vectors?

A: Explanation:

Q: ector Operations) Given vectors =, √ = and =, show (√x) = ( x )

A:

Q: 1 3 a) Consider a set of vectors, x = |3 |,y = | 2 and z = L4 Can we express the vector, v = 4 as a…

A: The solution is given as

Q: 7 Part (b) For each vector q and r, determine if the vector is in the span of the vectors w,, W,,…

A: Given vectors are  w1=1-124w2=230-2, w3=3-516, w4=1630 q=-893-4,r= -76-87