Answer:
y = 1, x = - 8
or
(-8, 1)
Step-by-step explanation:
-x + 4y = 12
x + y = -7
add the equations together
0x + 5y = 5
5y = 5
y = 1
substitute y for 1 in one of the original equations to find x
x + y = -7
x + 1 = -7
x + 1 - 1 = - 7 - 1
x = - 7 - 1
x = -8
GIVEN :
a = 1/√10 ( 3i + k) and
b = 1/7 ( 2i + 3j - 6k)
TO FIND :
( 2a- b) . [ ( a x b ) x ( a + 2b)]
SOLUTION :
◆Going with the equation given,
( 2a - b) . [ ( a x b ) x ( a + 2b)]
= (2a - b) [( a×b×a) + 2(a×b)×b]
◆BAC - CAB RULE,
A×B×C = B( A.B ) - C(A.B )
= (2a- b ) [ (b (a.a ) - a (a.b ) + 2b ( a.b) -2b (a.b]
Solving further
= (2a - b )(b - 2a)
= -4a.a -b.b
=-5.
Answer:
( 2 - b) . [ ( a x b ) x ( a + 2b)] = -5
Hoped I helped
so it takes 2.6 of hours which is the same as 2 hours and 36 minutes for them to reach eachother.
