If a and b are unit vectors- then the greatest value of - a - b - - a - b - is

The correct option is A 2√( 2 ) Let θ be the angle between a and b .Then a . b =cosθ #160;Now, #160;=| a #160;| #1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Applications of Dot Product

If a and ...

Question

If $\to a$ and $\to b$ are unit vectors, then the greatest value of $∣ ∣ ∣ \to a + \to b ∣ ∣ ∣ + ∣ ∣ ∣ \to a - \to b ∣ ∣ ∣$ is

2 \sqrt{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\sqrt{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 \sqrt{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

a, b

c

{| a - b |}^{2} + {| b - c |}^{2} + {| c - a |}^{2}

^a,^b

^c

{∣ ∣ 2^a - 3^b ∣ ∣}^{2} + {∣ ∣ 2^b - 3^c ∣ ∣}^{2} + {| 2^c - 3^a |}^{2}

p,

[\frac{p}{10}]

[.]

\to a, \to b, \to c

{∣ ∣ \to a - 2 \to b ∣ ∣}^{2} + {∣ ∣ \to b - 2 \to c ∣ ∣}^{2} + {| \to c - 2 \to a |}^{2}

\to a, \to b, \to c

{∣ ∣ ∣ 2 \to a - 3 \to b ∣ ∣ ∣}^{2} + {∣ ∣ ∣ 2 \to b - 3 \to c ∣ ∣ ∣}^{2} + {∣ ∣ 2 \to c - 3 \to a ∣ ∣}^{2}

\to a, \to b

\to c

{∣ ∣ ∣ \to a - \to b ∣ ∣ ∣}^{2} + {∣ ∣ ∣ \to b - \to c ∣ ∣ ∣}^{2} + {∣ ∣ \to c - \to a ∣ ∣}^{2}

Join BYJU'S Learning Program