(1 point) Find a vector orthogonal to both (-1,5,0) and to (0,5, 5) of the form (1,

Q: Find two unit vectors orthogonal to a = (3, 3,0) and b = (-3, 0, –4) Enter your answer so that the…

A: We have to find two unit vectors orthogonal  to given a and b vectors.

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

A:

Q: (1 point) Find a vector equation for the line through the point (-3, –1,8) perpendicular to the…

A: r(t)=?

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

Q: Determine a vector that is orthogonal to both (1, 2, -1) and (3, 1, 0).

A:

Q: B. Find the unit vector with the initial point P(-3,4,1) and terminal point Q(-5,2,2). Then find the…

A:

Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

A:

Q: A vector has initial point (−11,−12) and terminal point (20,−19) The component form of the vector…

A:

Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

A: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

Q: A vector w has initial point (-4,-3) and terminal point (-5, 2). Write w in component form.

A: Ny using position vector formula, we calculate the required vector.

Q: Find the components of the vector whose initial point is (2, 2, 4) and terminal point at (0, 2, 0).

A:

Q: 8. Write the vector (5,6,0) as a linear combination of the vectors (-1,2,0), (3,1,2), (4,–1,0) and…

A: We have to write the vector (5, 6, 0) as a linear combination of the vectors (-1, 2, 0) , (3, 1, 2),…

Q: (B) Find the vector F directed from point (3,-5,2) to point (2,-2,1) in cartesian coordinates and…

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Q: (1 point) Find a vector orthogonal to both (-2, 2, 0) and to (0, 2, 3) of the form

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Q: Determine the equations of the line (vector, parametric, Cartesian and general) that passes through…

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Q: Starting from the point (1, 2), at which direction does the above function f increase fastest? In…

A:

Q: Find a vector of length 5 that is orthogonal to both vectors ⟨4,−1,0⟩ and ⟨−3,2,−1⟩

A: The vector orthogonal to two vectors u,v is = ± (u×v)/ |u| |v| Here u =  ⟨4,−1,0⟩ , v =…

Q: 1. a)given a vector with initial point (−7, 9)and terminal point (5, −5), find an equivalent vector…

A:

Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

Q: 2. Find two unit vectors orthogonal to both (3, 2, 1) and (−1, 1, 0) .

A:

Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

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Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

Q: example of a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0

A: Given that:a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0

Q: A vector orthogonal to the plane through the poii (-1,0,0), (0, –2, –2), (2, 3, 4) is < -2, – 10, 9…

A: The given 3 points are A (-1,0,0) , B (0,-2,-2) &amp; C (2,3,4) Let, x1=-1, y1=0, z1=0 x2=0, y2=-2 ,…

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

A:

Q: Find a vector orthogonal to both and

A: Given query is to find the vector orthogonal to the given vectors.

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, -2), (2,3, 4) is

A: A vector orthogonal to the plane through the points (-1,0,0) , (0,-2,-2) , (2,3,4) is

Q: Find two unit vectors orthogonal to both (5, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

A:

Q: 3. find the length of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2)

A: Solution :

Q: Determine if the vectors (2, –2, 1) and (0,1, 2) are orthogonal.

A:

Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: If vector u has initial point (3,0) and terminal point (7,-2), find the linear combination of vector…

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Q: Find the length of the vector x = [-2, 2, 6 ]

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Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

A:

Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

Q: (2, -3 ,1),(2, -3 ,5) Express the space stretched by the vectors with cartesian equations.

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0,0, –2), (2,3, 4) is О О O 6,-10, 3>…

A: Let, Given vectors are P(-1,0,0), Q(0,0,-2) and R(2,3,4). We have to find non zero vector orthogonal…

Q: Q3: Find the scalar and vector components of the vector with initial point (2, 1) and terminal point…

A: Given initial point A(2,1) and terminal point B(-5,7)

Q: The vector (0,0,0) and the vector (0,0,0,0,0) a equal. are True False

A: False

Q: 3. What is the initial point of vector w if the component form is and the terminal point is (4, 1)?

A:

Q: Find 2 unit vectors orthogonal to both and .

A: Given: u=&lt;1,2,-1&gt; v=&lt;1,-2,-1&gt;

Q: Find a vector orthogonal to both (-4,5, 0) and to (0, 5, 4) of the form (1,

A:

Q: 6. Find a unit vector that is orthogonal to both [0, 1, 1] and [1,0, 1].

A: We will find the unit vector orthogonal to both the vectors as following.

Q: 1. The components of the vector, initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2). 2. The…

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

A:

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.