Find an answer to any Vectors problem - PlainMath

asked 2021-03-11

These three points are on the same line: (1,2,3),(2,4,−6),(−3,−6,x). Find x. Explain your answer fully.

asked 2021-03-05

Write the equation of the line that is perpendicular to y = 7x - 3 and passes through the origin.

asked 2021-02-11

Let F be a fixed 3x2 matrix, and let H be the set of all matrices A in \(\displaystyle{M}_{{{2}×{4}}}\) with the property that FA = 0 (the zero matrix in \(\displaystyle{M}_{{{3}×{4}}}{)}\). Determine if H is a subspace of \(\displaystyle{M}_{{{2}×{4}}}\)

asked 2021-02-09

Prove that the figure determined by the points is an isosceles triangle. A(19,-1), B(13,7), C(5,1)

asked 2021-02-05

Suppose that u,vu,v and w are vectors such that ⟨u,v⟩=6, ⟨v,w⟩=−7, ⟨u,w⟩=13⟨ ∣∣u∣∣=1,∣∣v∣∣=6,∣∣w∣∣=19∣∣u∣∣=1, given expression ⟨u+v,u+w⟩.

asked 2021-02-02

Construct a vector that is orthogonal to 24i + 7j. You must have BOTH solutions.

asked 2021-02-02

Solve the problem. Let vector u have initial point P1=(0,2) and terminal point P2=(−2,6). Let vector v have initial point Q1=(3,0) and terminal point Q2=(1,4). U and v have the same direction. Find ||u|| and ||v||. Is u=v?

asked 2021-01-31

Which transformation does not belong with the other three? Explain your reasoning.

asked 2021-01-19

These three points are on the same line: (1,2,3),(2,4,−6),(−3,−6,x). Find x. Explain your answer fully.

asked 2021-01-16

Your friend claims that rotating a figure by 180° is the same as reflecting a figure in the y-axis and then reflecting it in the x-axis. Is your friend correct? Explain your reasoning.

asked 2021-01-13

Dilate (0,6) and (-6,0) by a factor of \(\displaystyle\frac{{5}}{{6}}\).

asked 2021-01-02

The vertices of a square are located at (a, 0), (a, a), (0, a), and (0, 0). What is the length of a diagonal?

asked 2020-12-30

Show that C'[a, b] is subspace of C [a, b]

asked 2020-12-29

The position vector \(\displaystyle{r}{\left({t}\right)}={\left\langle{\ln{{t}}},\frac{{1}}{{t}^{{2}}},{t}^{{4}}\right\rangle}\) describes the path of an object moving in space.
(a) Find the velocity vector, speed, and acceleration vector of the object.
(b) Evaluate the velocity vector and acceleration vector of the object at the given value of \(\displaystyle{t}=\sqrt{{3}}\)

asked 2020-12-14

Find the vector that has the same direction as (6, 2, -3) but has length 4.

asked 2020-11-02

Find the tangential and normal components of the acceleration vector \(r(t)=(3t-t^3)i+3t^2j\)

asked 2020-10-31

Imagine a rope tied around the Earth at the equator. Show that you need to add only feet of length to the rope in order to lift it one foot above the ground around the entire equator. (You do NOT need to know the radius of the Earth to show this.)

asked 2020-10-28

Find the gradient vector field \(\displaystyle\vec{{F}}=\nabla{f}\) for each of the function \(\displaystyle{f{{\left({x},{y},{z}\right)}}}=\sqrt{{{x}^{{2}}+{y}^{{2}}+{z}^{{2}}}}\)

asked 2020-10-21

This is the quesetion. Suppose that a does not equal 0.
a. if \(\displaystyle{a}\cdot{b}={a}\cdot{c}\), does it follow that b=c?
b. if \(\displaystyle{a}\times{b}={a}\times{c}\), does it follow that b=c ?
c. if \(\displaystyle{a}\cdot{b}={a}\cdot{c}\) and \(\displaystyle{a}\times{b}={a}\times{c}\), does it follow that b=c?
Either prove the assertion is true in general or show that it is false for a concret choice of vectors a, b, c

...