All Questions
Tagged with algebra-precalculus vectors
259
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Find vectors $u$ and $v$ such that the parametrization
Find vectors $u$ and $v$ such that the parametrization $w(t) = u + tv$ describes the line containing the points $(5,2)$ and $(-1,3)$.
- 19
1
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1
answer
300
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Finding $k$ such that $\binom{-2}{k}$ is the direction vector of the line $y=\frac17(4x+1)$
I'm new here, I asked my friend about this question and he told me to go on this math forum. If someone can get me started on these questions it would make my day. Thank You
Find the value of $k$ ...
- 19
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2
answers
492
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Really confused with unit vectors
Let $\mathbf{u}$ and $\mathbf{v}$ be linearly independent unit vectors. Find the set of all possible values of $\mathbf{u}\cdot\mathbf{v}$. Give your answer in interval notation.
What is the maximum ...
user834359
1
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3
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71
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Line along shortest distance between two skew lines
We have points $A(1,-1,1),B(6,-3,1),C(2,-1,5),D(5,1,1)$
We also have a line $p$ that goes through the edges $AD$ and $BC$ perpendicularly.
Find the equation of this line:
My try:
$$AD = (4,2,0)$$
$$BC ...
- 2,527
-2
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4
answers
37
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Find $𝑥,𝑦,𝑧$ such that $(𝑥−𝑦, 𝑥+𝑦, 𝑧−1)=(4, 2, 3)$. [closed]
I am stuck at this question can someone help me?
I've been trying it all morning but I just cant quite get it going
maybe one of the lads can help
-1
votes
2
answers
418
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Why is the direction of angle theta in circular motion towards and inwards?
Why is the direction of angle $\theta$ in circular motion towards and inwards of plane x-y axis?
I am not getting this concept at all.As the angel theta is changing ; the arc length (s in diagram ) is ...
- 742
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Vector Related problem
If $\overrightarrow a ,\overrightarrow b \& \overrightarrow c $ are unit vector such that ${\left| {\overrightarrow a - \overrightarrow b } \right|^2} + {\left| {\overrightarrow b - \...
- 8,912
1
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1
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260
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How to get the necessary acceleration for a block to remain in place when pushed by a wedge?
The problem is as follows:
The figure from below represents a wedge which has a mass $M$ which is
being pushed by a force $F$. On the top of the wedge there is a small
block whose mass is $m$. Assume ...
- 4,185
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1
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39
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How can I get a vector inside a square as a function of two others?
The problem is as follows:
The figure from below represents three vectors $\vec{u}$, $\vec{v}$ and
$\vec{x}$. Find $\vec{x}$ as a function of a linear combination of the
other two. Assume the figure ...
- 4,185
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1
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125
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Why does velocity along $x$ axis not change as a function of time during projectile motion?
$U_x$ will be equal to $u\cos\theta $ and $u=\sin\theta$. But in case of final velocity, it is $v\cos\theta$ where $-gt =0$ and $v\sin\theta - gt$.
Why is that ? I am not getting how to solve this.
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3
votes
1
answer
2k
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Neat way to calculate intersection of 2 lines using 4 points.
I'm a minecraft speedrunner. We throw pearls to locate a stronghold. It's hard to explain, but here's an explanation:
Image explaining it here
So we know the points (x1,y1), (x2,y2) which are on one ...
- 31
0
votes
0
answers
23
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a planes resultant velocity
a plane has a typical cruise speed of 567 mph when at 35,000 ft. If the plane is heading NE and encounters a Wind of 100 mph blowing from west to east, what is the airplane’s resultant velocity
i ...
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1
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126
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To find a vector perpendicular to a vector with variable values
Let A vector = iA cos$\theta$ j + A sin$\theta$ be any vector. Another vector B which is normal to A is
How I solved it:
I thought that there can be two possibilities in which A vector is ...
user841124
1
vote
1
answer
268
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Given a position vector for a particle, determine when the velocity vector and acceleration vector are perpendicular
Problem
Given the position vector of a particle measured in $t$ seconds
$$\vec r(t) = [4t+2, \ 2t-5t^2]$$
find out when the velocity vector and acceleration vector are perpendicular to each other.
My ...
- 4,124
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Proof that the acceleration points to the center
The equation of movement of a certain particle on the plane XY is given by: $\vec r=4\cos(3t)\hat{i}+4\sin(3t)\hat{j}$ m where t is in seconds.
Prove that the vector acceleration always points to the ...
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