If a = 2i + 4j and b = 6j-4k get the smallest angle between the
two vectors by using:
(a) Cross Product
(b) Dot Product
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.
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...
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 7i − 8j and B = 3i − 5j ° (b) A = −3i + 6j and B = 3i − 4j + 2k °
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8. What is the cross product of the vectors A=-31 +3j -4k and B=4i +2j+k. What is the angle between A and B? 9. What is the scalar product of the vectors A= i +3j -2k and B= i +6j + 3k. What is the angle between A and B? 10. What is the scalar product of the vectors A= -31 +3j -4k and B=41 +2j+ k. What is the angle between A and B? 11. Find the area...
8. Given the vectors: A 3i -4j & Bi+ 6j, a) Graph vector A & vector B on the same coordinate system b) Find the scalar product A.B c) Find the magnitude of vector A d) Find the magnitude of vector B- e) Find the angle between vector A & vector B
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 6i - 7j and B = 8i - 5j [17.33] (b) A = 3i + 3j and B = 3i - 4j + 2k (c) A = i - 2j + 2k and B = 3j + 4k
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
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.
Let A = 3i + 4j and B = 5i ¡ 6j. (i) Find A + B, A ¡ B, 2A + 3B, and C such that A + B + C = 0: (ii) Find A, the length of A and the angle it makes with the x-axis.
What is the angle between vectors "a" and "b" where: a = (2i + 3j + 4k) and b = (-2i + 5j - 3k)