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.
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...
Find the equation of a plane that is perpendicular to the vector 2i −2j +3k and passing through the point (3,4,−2) The plane is given by:
a b с 3. If a = i-2j+3k and b 3i+j + 2k, find a unit vector along c which is a linear combination of a and b and also perpendicular to b.
F1 = 7i-4j+7k at r1= 11i+2j+1k F2= -2i-1j-8k at r2= 2i+1j+4k a) Find moment produced by forces about P(-2,-3,4) b) Replace forces with equivalent force and couple moment acting at origin.
For a = 2i - 3j + 4k, b = 5i + 2j + 6k, find a times b For a = -5i + 3j - 6k, b = 2i - 2j + 3k, find a times b For a = 7i - j + 3k, b = i + 3j - 4k, find a times b For a = 2i + 3j + 5k, b = 4i + 2j - 3k, find a times b
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]
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.
4. [3.03/4.54 Points] DETAILS PREVIOUS ANSWERS Find the cross product a b. a = 2i + 2j – 2k, b = 2i – 2j + 2k 8j – 8k
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.
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...
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=