Answer = d
please solve 9. Which of the following is an orthogonal pair of vectors? (a) 2i -...
2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j, w = --i +2j (b) v = -2i, w = 5j (c) v = -i + 2j, w = -1 (d) v = 2i – 3j, w = -2i + 3j (e) None of these
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]
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 -...
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...
Given the following two vectors: A=2i+6j=3k and B=5i-3j-2k. Find the dot product of the two vectors, the cross product of the two vectors,a nd the angle between them.
with clear writing please QUESTION 1 (Total 15 marks) VECTORS If A -2i+2k and B -3 i+ 3j +3k find: (a) the magnitude of B A B Ax B ii. iIl (b) If i, j, k are the unit vectors of the x, y, and z axes, evaluate: jx k iV. ix i
PLEASE SO=HOW WORK!!! 18. Determine if the following vectors are orthogonal, parallel, or neither. a. v = 4i – 18j w = - 2i + 9j b. v = 6i – 4j W = -3i c. u = 3i – 12j v = -4i - j
18. Determine if the following vectors are orthogonal, parallel, or neither. a. v = 4i – 18j w = - 2i + 9j b. v = 6i – 4j W = -3i c. u = 3i – 12j v = -4i - j
Given the vectors: A = 3i - 4j, B = 5i +6j & C= -2i - 2j. Find the following: a) 2(A-C) + 3 B b) 3B -4C +A . A car traveling in a straight line with an initial velocity of 10 m/s accelerates at a rate of 4 m/sto a velocity of 30 m/s. a) How much time does it take for the car to reach the velocity of 30 m/s? b) What is the distance covered by...
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C