Find the vector projVu. v=3i−j+3k, u=10i+11j+2k
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
a force f= 3i+cj+2k acting on a particle causes displacement , d=-4i+2j+3k. If the work done is 6 joule then the value of c. Plz. Solve
1a.If A=−2i^+2j^−3k^ B=−1i^+1j^+2k^ find the magnitude of A×B. b.Using the same definitions of the ?A and ?B from the previous question, what is the y component of the resulting vector made by A×B.
question about linear algebra
21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
Vector (Cross) Product 1. Find the vector product (2j-2k) x 5k. Sketch all three vectors onto the coordinate system below Answer: 10 Find the vector product of i+4j-3k and -2i+j-5k. Prove that your answer is perpendicular to the first two vectors by using the dot product Answer: -17i+11j+9k or 17i-11j-9k, depending on the order in which you took the cross product. 2.
a charge of 2 coulombs is placed at the position 3i+2j-k and a charge of 3 coulombs is place at a position of 4i-2j+3k find the force between two charges? The force should be i the vector form.
4. Determine the scalar triple product of the vectors: 3i2k and c = 3i+ j + 2k a i2jk; b 5. Ifa 3i 2j - k; b = 2i +5j - kand C i + 2j - 2k, find: ax (b x c) (ax b) x t i. ii
4. Determine the scalar triple product of the vectors: 3i2k and c = 3i+ j + 2k a i2jk; b 5. Ifa 3i 2j - k; b = 2i +5j -...
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What is the scalar product of -i + 3j + 2k and 3i – 2j + 2k, where i, j and k are the Cartesian unit vectors? Select one: O A. 12 OB. -7 OC. 7 OD. -5 O E. 5 What is the derivative of 4.25/4? Select one: A. 9c9/4 1629/4 B. 9 C. 5x1/4 D. 4.c 1/4 O E. 16.1/4 Which of the following is the c-coordinate of a stationary point of 3x3 – 9.x2...
Find the following expressions if a = 2i – 5k, b = i+j - 3k, and c = 4i + 8j + 2k. 1. a. b 2. a.C= 3. b.c=