how to find the components of a vector?
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In physics, when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1), the x-axis (horizontal) component is 4, and the y-axis (vertical) component is 1.
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Answer: Given two unit vectors, their cross product has a magnitude of 1 if the two are perpendicular and a magnitude of zero if the two are parallel.
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Unit vectors point in the direction of a vector and a normal vector is perpendicular to a vector.
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['1 × 36 = 36.', '2 × 18 = 36.', '3 × 12 = 36.', '4 × 9 = 36.', '6 × 6 = 36.']
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The magnitude of a vector given in component form is given by the square root of the sum of the squares of each component of the vector. i.e given a vector V(p, q), the magnitude of the vector is given by |V| = sqrt(p^2 + q^2).
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['Plot the coordinates. The first number tells the x value while the second number is the y value. ... ', 'Connect the dots and identify the figure. The connected points show a square.', 'Determine lengths. By counting the grid lines we see that the sides = 3.', 'If a formula exists, use it to find the perimeter and the area.']
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['Vectors. a <- c(1,2,5.3,6,-2,4) # numeric vector. ... ', 'Matrices. All columns in a matrix must have the same mode(numeric, character, etc.) ... ', 'Arrays. ... ', 'Data Frames. ... ', 'Lists. ... ', 'Factors. ... ', 'Useful Functions. ... ', 'To Practice.']
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The graphical method of adding vectors A and B involves drawing vectors on a graph and adding them using the head-to-tail method. The resultant vector R is defined such that A + B = R. The magnitude and direction of R are then determined with a ruler and protractor, respectively.
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['Sine (sin)', 'Cosine (cos)', 'Tangent (tan)', 'Secant (sec)', 'Cosecant (csc)', 'Cotangent (cot)']
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['Indexed arrays have numeric indices. Typically the indices in an indexed array start from zero, so the first element has an index of 0 , the second has an index of 1 , and so on. ... ', 'A ssociative arrays have string indices.']
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['The graphical method of adding vectors A and B involves drawing vectors on a graph and adding them using the head-to-tail method. ... ', 'The graphical method of subtracting vector B from A involves adding the opposite of vector B, which is defined as -B. ... ', 'Addition of vectors is commutative such that A + B = B + A.']
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No. All unit vectors have length 1, but not necessarily the same direction. ... If each component of a non-zero vector in R³ is tripled then the length of that vector is tripled.
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['When side lengths are given, add them together.', 'Solve for a missing side using the Pythagorean theorem.', 'If we know side-angle-side information, solve for the missing side using the Law of Cosines.']
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['The Circle.', 'The Triangle.', 'The Rectangle.', 'The Rhombus.', 'The Square.', 'The Trapezoid.']
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One common use of the vector triple product is therefore to find the orthogonal component of a vector with respect to another. a → × ( b → × c → ) = b → ( a → ⋅ c → ) − c → ( a → ⋅ b → ) .
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Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = cv, then u and v are parallel.
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['^0 – Black.', '^1 – Red.', '^2 – Green.', '^3 – Yellow.', '^4 – Blue.', '^5 – Light Blue.', '^6 – Purple.', '^7 – White.']