If |a|= a then find the value of the following |a?i|^2+|a?j|^2+|a?k|^2 Share with your friends Share 26 Manbar Singh answered this Let a→ = a1i^ + a2j^ + a3k^Now, a→ = a12 + a22 + a32 = aNow, a→ × i^ = a1i^ + a2j^ + a3k^×i^ = i^j^k^a1a2a3100 = 0i^ - j^0-a3 + k^0-a2⇒ a→ × i^ = 0i^ + a3j^ - a2k^⇒ a→ × i^ = a32 + -a22 = a32 + a22⇒ a→ × i^2 = a32 + a22Now, a→ × j^ = a1i^ + a2j^ + a3k^×j^ = i^j^k^a1a2a3010 = i^0-a3 +0j^+ k^a1-0⇒a→ × j^ = -a3i^ + a1k^⇒a→ × j^2 = a32 + a12Now, a→×k^ = a1i^ + a2j^ + a3k^×k^ = i^j^k^a1a2a3001 = i^a2 - 0 - j^a1 - 0 +0k^⇒ a→×k^ = a2i^ - a1j^⇒a→×k^2 = a22 + a12Now, a→ × i^2 + a→ × j^2 + a→×k^2 = a32 + a22 + a32 + a12 + a22 + a12=2a12 + a22 + a32=2a2 42 View Full Answer