Notes 2 for June 18 prepared by Melanie Smith Shusaku discussed
... associated with the proton. The Kinetic Energy will increase because the proton will accelerate from rest. The Potential Energy (V) will decrease because the two like charges a re farther apart. As r increases, v decreases As KE increases, PE decreases V = kq/r E = F/q and E = K(Q/r2) F = qE If ...
... associated with the proton. The Kinetic Energy will increase because the proton will accelerate from rest. The Potential Energy (V) will decrease because the two like charges a re farther apart. As r increases, v decreases As KE increases, PE decreases V = kq/r E = F/q and E = K(Q/r2) F = qE If ...
Vectors 1
... Vectors are represented in different ways. They may be typed in bold such as a, or as a letter with a line or arrow above or below it, such as a , a or a . The underline notation will be used here, but it is best to stick to the notation that your department or lecturer uses. The notation â (known ...
... Vectors are represented in different ways. They may be typed in bold such as a, or as a letter with a line or arrow above or below it, such as a , a or a . The underline notation will be used here, but it is best to stick to the notation that your department or lecturer uses. The notation â (known ...
James Woods
... After showing the algebraic properties we showed that there are also geometric properties of the cross product. 1. a x b is orthogonal(perpindicular) to both vectors a and b if and only if the cross product is not equal to 0 2. || a x b || = || a || || b || sin(theta) 3. a x b = 0 if and only if a a ...
... After showing the algebraic properties we showed that there are also geometric properties of the cross product. 1. a x b is orthogonal(perpindicular) to both vectors a and b if and only if the cross product is not equal to 0 2. || a x b || = || a || || b || sin(theta) 3. a x b = 0 if and only if a a ...
Your Next Test §1 – Linear Independence and Linear Dependence
... H INT: We will see on Tuesday: “If dim(V ) = n, then (i) any LI set with n vectors is a basis of V and (ii) any spanning set with n vectors is a basis of V .” Recall that dim(R4 ) = 4. So, as soon as you have extended your basis of W1 to a LI set with four vectors in R4 , you know that the latter mu ...
... H INT: We will see on Tuesday: “If dim(V ) = n, then (i) any LI set with n vectors is a basis of V and (ii) any spanning set with n vectors is a basis of V .” Recall that dim(R4 ) = 4. So, as soon as you have extended your basis of W1 to a LI set with four vectors in R4 , you know that the latter mu ...
