n+5 c) Let y= and u= Write y as sum of two orth ogon al vector s, one n+4 n-1 is Span (u) and one orthogonal to u. where n is last digit of your arid number. If 19-Arid-1258 then your arid number is take value of n=8.

Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: How do you know if 3 vectors span R^3? Is there any example?

A:

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

A:

Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: 3,10 on coordinate plane

A:

Q: what if it was the same vector, but 5y^2j?

A:

Q: Find the area of the parallelogram defined by the vectors Area = 1 -2 2

A:

Q: Express the area of a square (A) in terms of its diagonal (d)

A:

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: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Find a non-zero vector perpendicular to

A:

Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: Suppose that u, v, w are vectors in R^36 such that u. u = 3 u. V = 0 u.w=0 V.V=9 if x is a vector in…

A:

Q: Why vector of algebra related in maritime industry

A: Vectors are mathematical objects that have both magnitude (size) and direction. In the maritime…

Q: Please justify whether these statements are true of false. a. If u and v are vectors in R^3, then…

A: Objects with both magnitude and direction are called vectors. The vector's size is determined by the…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: Vector A is 6 inches long and is 60° above the +x-axis in the first quadrant. While vector B is 6…

A: Shown here are two vectors as given in the question. Resolve the first and second vector on the x…

Q: the following subset of Pz CTR). S=2x²+3x-1, x²+x-1,x²-3x -13. LET be Determine if S is lin, dep, +…

A:

Q: Please help

A: Step 1:Calculate the sum of the vectors (-i+3j-k) and…

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

A:

Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: Find the vector determined by 18 || = B = {[.]. 9 6 12 3 9 2 -8 " where B = 3 [-]

A:

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

A:

Q: Pind a unit vector2 -24 12

A: Solve the given problem.

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: Define' a vector to contain 2 components: (a,b) where a a rational number, b is an irrational…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.