IITM BS Question 14 - Week 8 Practice

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IITM BS Question 14 - Week 8 Practice | Prasnya

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Q14Comprehension1 Mark1 Dec 2024

Passage

Consider

u_1=\left(\frac1{\sqrt3},-\frac1{\sqrt3},\frac1{\sqrt3}\right)

u_2=\left(\frac1{\sqrt2},0,-\frac1{\sqrt2}\right)

, and

u_3=\left(\frac1{\sqrt6},\frac{2k}{\sqrt6},\frac{k}{\sqrt6}\right)

\mathbb{R}^3

, where

k\in\mathbb{R}

. Use the standard inner product to answer the subquestions.

Find the number of values of

k

for which

u_3

is a unit vector.

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Q14

00:00

1 Dec 2024

Mathematics 2 · Week 8

Q14.Find the number of values of

k

for which

u_3

is a unit vector.@passage

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