vectors

Question 1

scalar

Answer 1

a quantity with just a number

Question 2

vector

Answer 2

a quantity with a magnitude and direction

Question 3

how do you add vectors

Answer 3

join head to tail and draw the resultant vector

Question 4

how do you subtract vectors

Answer 4

reverse direction of vector and add

Question 5

commutative property of vectors

Answer 5

does not matter in what order vectors are added

Question 6

associative property of vectors

Answer 6

sum of vectors remain same irrespective of grouping

Question 7

column vector

Answer 7

vector displayed in brackets with one number over the other

Question 8

how do you find magnitude of vector from i j and k format

Answer 8

use pythagoras theorem r = sqrt(r_x^2+r_y^2+r_z^2)

Question 9

l

Answer 9

l = cos alpha = r_x / |r| = r_x / sqrt(r_x^2+r_y^2+r_z^2)

Question 10

m

Answer 10

m = cos beta = r_y / |r| = r_y / sqrt(r_x^2+r_y^2+r_z^2)

Question 11

n

Answer 11

n = cos gamma = r_z / |r| = r_z / sqrt(r_x^2+r_y^2+r_z^2)

Question 12

dot / scalar product

Answer 12

a · b = |a| |b| cos Θ = a_x b_x + a_y b_y + a_z b_z

Question 13

vector / cross product

Answer 13

result is a vector;