Question

Show that vectors a = 2i + 5j -6k andb=i+5/2j^-3k^ are parallel.​

Answer 1

Answer:

parallel to each other

Explanation:

a=2i+5j-6k and b=I+5/2j-3k

here we can write b=(2i+5j-6k)/2

so, now b=a/2 so a and b be parallel now.

Answer 2

Answer:

Proved the vectors are parallel.

Explanation:

To prove the given two vectors are parallel their dot product must be equal to zero.

Or else if we take a unit vector L and this L will be L(a)=(b). Since, the values of a is (2,5,-6) and the values of b is (1,5/2,-3). So we know that (2,5,-6)L= (1,5/2,-3). Now, equating the two values we get that 2L=1 so L=1/2 again for the second 5L=5/2 so the value of L = 1/2 again. For -6L= -3 we again have L=1/2. So, all the values of L is 1/2 hence the two vectors are parallel.