}] respectively. Let y = and u = . Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is orthogonal to u. Enter them as 2x1 arrays into y_u and y_o

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

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

A: Expression

Q: List five vectors in Span/v1, V2}. Do not make a sketch. 7. 9- V1 1 V2 = -5 List five vectors in…

A: Solution

Q: Let v1, v2, v3 be the vectors in R^3 defined by: v1=[0 5 8], v2=[12,-20,5], v3=[-12,15,-13] a). Is…

A: Solution: (a) We see,            v1 + v2 = [0 5 8] + [12 -20 5]                          = [0+12…

Q: 3. Write u= -=[3] as a sum of vectors, one in the direction of and another orthoganal to a. -1 a=

A:

Q: Fill in the blanks with numbers to show that the vector is a linear combination of the ---

A:

Q: Determine whether the vectors v₁ =(4,-8, 12), and v₂ = (-5, 10, 15) are linearly independent; if…

A:

Q: If the cross product of two nonzero vectors is the zero vector, then each of the two vectors is a…

A: Explanation of the answer is as follows

Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: find a vector that is orthogonal to (1,2,3) and (4,5,6). do not use cross product.

A: Let's find vector that is orthogonal to given two vectors.

Q: Define the term column vector.

A: Column Vector is defined as a column matrix representing the elements of any vector written in…