00:01
Hello, let's have a look at the question.
00:03
So the question state that determine whether the vectors a is equals to 6i plus 3j and b is equals to minus i plus 2j plus 42k are orthogonal, parallel or neither.
00:17
So we have a which is equals to 6i cap plus 3j cap and we have b which is having the values minus i cap plus 2j cap and plus 42k cap.
00:33
So we have to see whether they are orthogonal, parallel or neither.
00:47
Now here to determine whether the vectors a and b are orthogonal, parallel or neither, we need to check their dot product.
00:55
So two vectors are orthogonal if their dot product is zero that is the angle between them is 90 degrees.
01:31
Then also here we have that two vectors parallel if one can be obtained by scaling the other.
01:58
So this means that if one is scalar multiple of the other.
02:05
Now let us calculate the dot product of a and b which is calculated using the formula that a dot b is equals to a1 multiplied with b1 then this is added with a2 multiplied with b2 and this is added with a3 multiplied with b3...