Vector Operations

Theme: Vector Operations...

SHOW THAT THE ANGEL BETWEEN ANY 2 DIAGONALS OF A CUBE IS cos-1 (1/3)

Given three unit vectors a, b and c, such that a +b+c = 0, find a. b +b. c + c. a

Relationship B has a greater rate than Relationship A. The graph represents Relationship A. Which equations could represent Relationship B? Choose all answers that are correct. A. y = 3/4x B. y = 0.6x C. y = 2/3x D. y = 1/4x Meh

Give the components of the vector whose length is 10 and whose direction opposes the direction of [–4, 3].

Calculate the distance from each given point to the given line. Point: (0,4); Line: f(x)=2x-3 Write the equation for the line perpendicular to the given line that goes through the given point.

A quadrilateral has vertices A(4,5), B(2,4), C(4,3), and D(6,4) which statement about the quadrilateral is true A ABCD is a parallelogram with noncongruent adj sides B ABCD is a trapezoid with only one pair of parallel sides C ABCD is a rectangle with noncongruent adj sides D ABCD is a square E ABCD is a rhombus with non perpendicular adj sides

Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow? A. f(x)+k B. kf(x) C. f(x+k) D. f(k-x)

How can absolute value help you to understand the size of a quantity

What is velocity and what’s it’s formula

Prove that (a-b) x (a+b)=2a x b is true. (a and b are vectors)

find a vector of length 10 in the direction of v= <3,2>?

tell if four points are coplanar

Let Ax=b be any consistent system of linear equations, and let x1 be a fixed solution. show that every solution to the system can be written in the form x=x1+x0, where x0 is a solution to Ax=0. show that every matrix of this form is a solution.

Matrix equations not requiring inverses. [-5,31,32,30]=[3,5,0,2] 4x

Write matrix to represent system 2a-3b=6, a=b=2

Let W be the subspace of R5 spanned by the vectors w1, w2, w3, w4, w5, where w1 = 2 −1 1 2 0, w2 = 1 2 0 1 −2, w3 = 4 3 1 4 −4, w4 = 3 1 2 −1 1, w5 = 2 −1 2 −2 3. Find a basis for W ⊥.

How can you use absolute value to represent a negative number in a real world situation

If vectors u, v and w ar linearly indepndnt, will u-v, v-w & u-w also be linearly indpnt?

Determine whether the expression make sense mathematically, if not explain why. a) ||u|| * ||v|| b) (u * v) - w c) (u * v)-k d) k * u

Explain how to determine if something is a vector space or not

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