Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [Start 3 By 1 Matrix 1st Row 1st Colu
mn 3 2nd Row 1st Column negative 3 3rd Row 1st Column 6 EndMatrix ], [Start 3 By 1 Matrix 1st Row 1st Column 6 2nd Row 1st Column negative 9 3rd Row 1st Column 11 EndMatrix ], [Start 3 By 1 Matrix 1st Row 1st Column negative 2 2nd Row 1st Column 2 3rd Row 1st Column h EndMatrix ]The value(s) of h which makes the vectors linearly dependent is(are) nothing because this will cause ▼ x 1 x 2 x 3 to be a ▼ basic free variable. (Use a comma to separate answers as needed.)
1 answer:
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Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:
Use Pythagoras in triangle HKL
Taking square root on both sides.
Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,
Use Pythagoras theorem in ΔHKI,
From (1) and (2) we get
Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).
Taking square root on both sides.
Hence, the measure of KI is 11.25 units.
