Suppose that the vectors [1, –3, 1] and [2, 4, –1] form the sides of a parallelogram. Find the lengths of the two diagonals of the parallelogram. Round off your answer to exactly 3 decimal places and separate your answers with a comma, do not leave a space in between.

Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: (-1,4, 12) + (3i – 6j – 14k)

A: We get the sum of the vectors as…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms…

A: We have  the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a…

Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: Find the following dot product. (-19,3) · (16,-6)

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Q: Given the vectors component form. = (-4, 2, 1), (3, 1, 5), calculatex. Write your final answer in =

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Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

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Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

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