Learn Vectors with Examples, Equations, and Practice Problems

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)

Efan Halliday 2021-05-25

Find a vector function that represents the curve of intersection of the two surfaces. The cylinder $x^{2} + y^{2} = 4$ and the surface z=xy

Zoe Oneal 2021-05-23

Find the gradient vector field of f.
$f (x, y) = x e^{9 x y}$

Cabiolab 2021-05-23

Find the angle between each of the following pairs of vectors $\vec{A} = A_{x} \hat{i} + A_{y} \hat{j}$ and $\vec{B} = B_{x} \hat{i} + B_{y} \hat{j}$
$A_{x_{1}} = - 2.20, A_{y_{1}} = 6.60 B_{x_{1}} = 2.00, B_{y_{1}} = - 2.30$

ddaeeric 2021-05-19

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
P(2, 0), Q(0, 3), R(3, 4)

bobbie71G 2021-05-17

Find the scalar and vector projections of b onto a.
$a = (4, 7, - 4), b = (3, - 1, 1)$

Armorikam 2021-05-16

Find an equation for the plane that
(a) is perpendicular to $v = (1, 1, 1)$ and passes through (1,0,0).
(b) is perpendicular to $v = (1, 2, 3)$ and passes through (1,1,1)
(c) is perpendicular to the line $l (t) = (5, 0, 2) t + (3, - 1, 1)$ and passes through (5,-1,0)
(d) is perpendicular to the line $l (t) = (- 1, - 2, 3) t + (0, 7, 1)$ and passes through (2,4,-1).

Anonym 2021-05-13

Find the volume of the parallelepiped determined by the vectors a, b, and c. a=<1, 2, 3>, b=<-1, 1, 2>, c=<2, 1, 4>

a2linetagadaW 2021-05-04

Find the vectors, not with determinants, but by using properties of cross products.
$(i + j) \times (i - J)$
and
$k \times (i - 2 j)$

texelaare 2021-05-04

Find the scalar and vector projections of b onto a
a=(-8,15) , b=(3,5)
Find the scalar and vector projections of b onto a
a=(6,7,-6) b=(3,-1,1)

usagirl007A 2021-05-03

Find a nonzero vector orthogonal to the plane through the points P, Q, and R, P(0,-2,0), Q(4,1,-2), R(5,3,1)

pedzenekO 2021-03-05

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

Maiclubk 2021-02-11

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

Tabansi 2021-02-09

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

postillan4 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 $⟨ u + v, u + w ⟩$ .

ediculeN 2021-02-02

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

Sinead Mcgee 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?

tricotasu 2021-01-31

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

floymdiT 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.

foass77W 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.

Vectors in the Precalculus course are usually more challenging since there are different vectors examples that are always mentioned. For example, if you are majoring in Engineering disciplines, you will have to use more than one approach to explain the most efficient ways. Take a look at vectors practice problems that have been presented below. It will help you learn and find the answers that will let you see the best equation and graphs. At the same time, when you are dealing with vectors equations, do not forget about unknown coefficients as you are looking for combinations and various solutions.

Precalculus

Vector Examples, Equations, and Practice Problems