8. Give examples of sets of three vectors that are a. Collinear b. Coplanar c. Not coplanar Explain your reasoning.

Q: 23. Are the vectors u = and v = orthogonal? Explain.

A: Two vectors are orthogonal, if their dot product is equal to zero.  The formula to calculate dot…

Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

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

A:

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

A:

Q: ri If the vector 2i – 6j is perpendicular to the vector 2 + 5j in R2, what is r?

A:

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: 1 -2 3 8. The vectors -4 and span -3 9 а. the entire R³ b. a plane in R³ с. a line in R³

A: see below the explanation

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Solve

Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.

Q: Consider the vectors Vị = 2 , V2 = V3 3 E R³. , V4 = Find the first vector in this list which is not…

A:

Q: Let a, b, and c be vectors. Is it a vector, scalar, or is in meaningless? 1) ( a X b ) + a.b 2) -2 +…

A: We will whether the part 1, 2 and 3 are a vector or a scalar or meaningless as following.

Q: Find whether the vectors are orthogonal, parallel, or neither. Please show calculation and…

A:

Q: Q5) Describe the Null A by listing the vectors that span the Null space. 135 0 A= 014 -2

A:

Q: On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A…

A: