Here, angle between and is obtuseSo,⇒ 14x2 – 8x + x ≤ 0⇒ 14x2 – 7x ≤ 0⇒ 2x2 – x ≤ 0⇒ x(2x – 1)≤ 0or __________(1)Now, angle between and Z-axis is acuteSo,⇒x≥0 ___________(2)∴ From (1) and (2) .

Q. 13

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Class 12th RD Sharma - Volume 2 24. Scalar or Dot Products

Answer :

Here, angle between and is obtuse

So,

⇒ 14x² – 8x + x ≤ 0

⇒ 14x² – 7x ≤ 0

⇒ 2x² – x ≤ 0

⇒ x(2x – 1)≤ 0

or __________(1)

Now, angle between and Z-axis is acute

So,

⇒x≥0 ___________(2)

∴ From (1) and (2) .

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