The position vectors of points A, B and C are OA = 2ỉ -j + nk , OB =i+ 3j – 2k and OC = -i- mj – 3K where O is the origin, m andn are constant. Find: %3D i. m and n if BA x BC = -16ỉ – 35 + 2k . %3D |

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

A: ANSWER IS GIVEN BELOW.

Q: The position vector of points A, B and C are OA=2i-j+nk, OB-1+3j-2k and OC =-i-mj-3k, where O is the…

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Q: 4) Find the magnitude and direction of the vector i that has components v4 = –1525 and vy = -8402.

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as…

A: Here we have to find the length of the diagonal.

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A: Line through point (2, 3,0)  Which perpendicular to U1 and U2

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Q: The position vectors of points A, B and C are OÃ = 2i – j + nk , OB =ỉ+3j – 2K and OC = -i – mỉ – 3k…

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Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: Find the cosine of the angle between the vectors: a = 4i + 2j-k b=2i+ 4j-k

A: Simply take the dot/scalar product of both vectors a & b.

Q: The position vectors of points A, B and C are OA = 21 -j + nk , OB=i+ 3j – 2k and OC = -i - mj – 3k…

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Q: 3 Give the position vectors of A, B, C, D and E relative to O for the diagram below. B D-

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A: Given :          U=5i+12jV=4i+bj

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A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

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Q: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

A: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

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Q: The position vectors of points A, B and C are OA = 21 -j + nk, OB =i+ 3j – 2k and oc = -i- mj – 3k ,…

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Q: A sailboat is sailing at a speed of 6 knots at a true bearing of 220°. Give the velocity of the…

A: First represent the vector on coordinate plan than break the components along x & y-axis.

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A: which option?

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Q: 6. Show that the points A, B and C with position vectors d = 32 – 4) – 4k, b = 2î – ĵ + k and & = î…

A: To show that the points A,B and C with a given position vectors forms a right angled triangle.

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Q: Q3: Find the angle between two vectors in space A = 41 - 2J-k B = 4T - 2J + 4k and

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